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Finding the Third Proportional to 234,337.50 and 349,972.59

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Solution

The third proportional to 234,337.50 and 349,972.59 is: 522,668.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,337.50 : 349,972.59 = 349,972.59 : x
  2. Step 2: Convert to fraction form
    234,337.50/349,972.59 = 349,972.59/x
  3. Step 3: Cross multiply
    234,337.50x = 349,972.59 × 349,972.59
  4. Step 4: Simplify right side
    234,337.50x = 122,480,816,376.10
  5. Step 5: Solve for x
    x = 122,480,816,376.10/234,337.50
  6. Step 6: Final answer
    x = 522,668.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.