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Finding the Third Proportional to 142,279.50 and 329,394

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Solution

The third proportional to 142,279.50 and 329,394 is: 762,586.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,279.50 : 329,394 = 329,394 : x
  2. Step 2: Convert to fraction form
    142,279.50/329,394 = 329,394/x
  3. Step 3: Cross multiply
    142,279.50x = 329,394 × 329,394
  4. Step 4: Simplify right side
    142,279.50x = 108,500,407,236
  5. Step 5: Solve for x
    x = 108,500,407,236/142,279.50
  6. Step 6: Final answer
    x = 762,586.37

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.