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Finding the Third Proportional to 71,634.38 and 155,706.68

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Solution

The third proportional to 71,634.38 and 155,706.68 is: 338,448.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,634.38 : 155,706.68 = 155,706.68 : x
  2. Step 2: Convert to fraction form
    71,634.38/155,706.68 = 155,706.68/x
  3. Step 3: Cross multiply
    71,634.38x = 155,706.68 × 155,706.68
  4. Step 4: Simplify right side
    71,634.38x = 24,244,570,099.31
  5. Step 5: Solve for x
    x = 24,244,570,099.31/71,634.38
  6. Step 6: Final answer
    x = 338,448.83

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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.