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Finding the Third Proportional to 191,377.13 and 406,945.13

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Solution

The third proportional to 191,377.13 and 406,945.13 is: 865,329.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,377.13 : 406,945.13 = 406,945.13 : x
  2. Step 2: Convert to fraction form
    191,377.13/406,945.13 = 406,945.13/x
  3. Step 3: Cross multiply
    191,377.13x = 406,945.13 × 406,945.13
  4. Step 4: Simplify right side
    191,377.13x = 165,604,334,761.27
  5. Step 5: Solve for x
    x = 165,604,334,761.27/191,377.13
  6. Step 6: Final answer
    x = 865,329.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.