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Finding the Third Proportional to 226,732.50 and 338,914.13

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Solution

The third proportional to 226,732.50 and 338,914.13 is: 506,600.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,732.50 : 338,914.13 = 338,914.13 : x
  2. Step 2: Convert to fraction form
    226,732.50/338,914.13 = 338,914.13/x
  3. Step 3: Cross multiply
    226,732.50x = 338,914.13 × 338,914.13
  4. Step 4: Simplify right side
    226,732.50x = 114,862,784,124.52
  5. Step 5: Solve for x
    x = 114,862,784,124.52/226,732.50
  6. Step 6: Final answer
    x = 506,600.44

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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.