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Finding the Third Proportional to 142,432.88 and 225,541.13

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Solution

The third proportional to 142,432.88 and 225,541.13 is: 357,142.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,432.88 : 225,541.13 = 225,541.13 : x
  2. Step 2: Convert to fraction form
    142,432.88/225,541.13 = 225,541.13/x
  3. Step 3: Cross multiply
    142,432.88x = 225,541.13 × 225,541.13
  4. Step 4: Simplify right side
    142,432.88x = 50,868,799,066.27
  5. Step 5: Solve for x
    x = 50,868,799,066.27/142,432.88
  6. Step 6: Final answer
    x = 357,142.26

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.