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Finding the Third Proportional to 224,584.31 and 339,211.13

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Solution

The third proportional to 224,584.31 and 339,211.13 is: 512,342.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,584.31 : 339,211.13 = 339,211.13 : x
  2. Step 2: Convert to fraction form
    224,584.31/339,211.13 = 339,211.13/x
  3. Step 3: Cross multiply
    224,584.31x = 339,211.13 × 339,211.13
  4. Step 4: Simplify right side
    224,584.31x = 115,064,187,323.77
  5. Step 5: Solve for x
    x = 115,064,187,323.77/224,584.31
  6. Step 6: Final answer
    x = 512,342.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.