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Finding the Third Proportional to 224,501.31 and 339,084.04

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Solution

The third proportional to 224,501.31 and 339,084.04 is: 512,148.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,501.31 : 339,084.04 = 339,084.04 : x
  2. Step 2: Convert to fraction form
    224,501.31/339,084.04 = 339,084.04/x
  3. Step 3: Cross multiply
    224,501.31x = 339,084.04 × 339,084.04
  4. Step 4: Simplify right side
    224,501.31x = 114,977,982,897.85
  5. Step 5: Solve for x
    x = 114,977,982,897.85/224,501.31
  6. Step 6: Final answer
    x = 512,148.39

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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.