Home / 256,249,002.94-382,694,327.16

Finding the Third Proportional to 256,249,002.94 and 382,694,327.16

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Solution

The third proportional to 256,249,002.94 and 382,694,327.16 is: 571,533,728.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,249,002.94 : 382,694,327.16 = 382,694,327.16 : x
  2. Step 2: Convert to fraction form
    256,249,002.94/382,694,327.16 = 382,694,327.16/x
  3. Step 3: Cross multiply
    256,249,002.94x = 382,694,327.16 × 382,694,327.16
  4. Step 4: Simplify right side
    256,249,002.94x = 146,454,948,037,574,912
  5. Step 5: Solve for x
    x = 146,454,948,037,574,912/256,249,002.94
  6. Step 6: Final answer
    x = 571,533,728.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.