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Finding the Third Proportional to 142,282 and 329,400

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Solution

The third proportional to 142,282 and 329,400 is: 762,600.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,282 : 329,400 = 329,400 : x
  2. Step 2: Convert to fraction form
    142,282/329,400 = 329,400/x
  3. Step 3: Cross multiply
    142,282x = 329,400 × 329,400
  4. Step 4: Simplify right side
    142,282x = 108,504,360,000
  5. Step 5: Solve for x
    x = 108,504,360,000/142,282
  6. Step 6: Final answer
    x = 762,600.75

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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.