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Finding the Third Proportional to 191,891.25 and 301,006.13

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Solution

The third proportional to 191,891.25 and 301,006.13 is: 472,166.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,891.25 : 301,006.13 = 301,006.13 : x
  2. Step 2: Convert to fraction form
    191,891.25/301,006.13 = 301,006.13/x
  3. Step 3: Cross multiply
    191,891.25x = 301,006.13 × 301,006.13
  4. Step 4: Simplify right side
    191,891.25x = 90,604,687,287.52
  5. Step 5: Solve for x
    x = 90,604,687,287.52/191,891.25
  6. Step 6: Final answer
    x = 472,166.85

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.