Home / 256,249,014.75-382,694,342.63

Finding the Third Proportional to 256,249,014.75 and 382,694,342.63

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Solution

The third proportional to 256,249,014.75 and 382,694,342.63 is: 571,533,748.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,249,014.75 : 382,694,342.63 = 382,694,342.63 : x
  2. Step 2: Convert to fraction form
    256,249,014.75/382,694,342.63 = 382,694,342.63/x
  3. Step 3: Cross multiply
    256,249,014.75x = 382,694,342.63 × 382,694,342.63
  4. Step 4: Simplify right side
    256,249,014.75x = 146,454,959,877,180,896
  5. Step 5: Solve for x
    x = 146,454,959,877,180,896/256,249,014.75
  6. Step 6: Final answer
    x = 571,533,748.22

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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.