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Finding the Third Proportional to 123,387.38 and 265,501.13

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Solution

The third proportional to 123,387.38 and 265,501.13 is: 571,297.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,387.38 : 265,501.13 = 265,501.13 : x
  2. Step 2: Convert to fraction form
    123,387.38/265,501.13 = 265,501.13/x
  3. Step 3: Cross multiply
    123,387.38x = 265,501.13 × 265,501.13
  4. Step 4: Simplify right side
    123,387.38x = 70,490,847,376.27
  5. Step 5: Solve for x
    x = 70,490,847,376.27/123,387.38
  6. Step 6: Final answer
    x = 571,297.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.