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Finding the Third Proportional to 156,691.13 and 338,320.13

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Solution

The third proportional to 156,691.13 and 338,320.13 is: 730,484.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,691.13 : 338,320.13 = 338,320.13 : x
  2. Step 2: Convert to fraction form
    156,691.13/338,320.13 = 338,320.13/x
  3. Step 3: Cross multiply
    156,691.13x = 338,320.13 × 338,320.13
  4. Step 4: Simplify right side
    156,691.13x = 114,460,506,980.02
  5. Step 5: Solve for x
    x = 114,460,506,980.02/156,691.13
  6. Step 6: Final answer
    x = 730,484.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.