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Finding the Third Proportional to 241,901.25 and 381,404.38

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Solution

The third proportional to 241,901.25 and 381,404.38 is: 601,358.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,901.25 : 381,404.38 = 381,404.38 : x
  2. Step 2: Convert to fraction form
    241,901.25/381,404.38 = 381,404.38/x
  3. Step 3: Cross multiply
    241,901.25x = 381,404.38 × 381,404.38
  4. Step 4: Simplify right side
    241,901.25x = 145,469,297,269.14
  5. Step 5: Solve for x
    x = 145,469,297,269.14/241,901.25
  6. Step 6: Final answer
    x = 601,358.19

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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.