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Finding the Third Proportional to 142,764.19 and 310,132.13

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Solution

The third proportional to 142,764.19 and 310,132.13 is: 673,711.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,764.19 : 310,132.13 = 310,132.13 : x
  2. Step 2: Convert to fraction form
    142,764.19/310,132.13 = 310,132.13/x
  3. Step 3: Cross multiply
    142,764.19x = 310,132.13 × 310,132.13
  4. Step 4: Simplify right side
    142,764.19x = 96,181,934,957.02
  5. Step 5: Solve for x
    x = 96,181,934,957.02/142,764.19
  6. Step 6: Final answer
    x = 673,711.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.