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Finding the Third Proportional to 250,252.31 and 387,820.13

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Solution

The third proportional to 250,252.31 and 387,820.13 is: 601,011.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,252.31 : 387,820.13 = 387,820.13 : x
  2. Step 2: Convert to fraction form
    250,252.31/387,820.13 = 387,820.13/x
  3. Step 3: Cross multiply
    250,252.31x = 387,820.13 × 387,820.13
  4. Step 4: Simplify right side
    250,252.31x = 150,404,449,355.02
  5. Step 5: Solve for x
    x = 150,404,449,355.02/250,252.31
  6. Step 6: Final answer
    x = 601,011.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.