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Finding the Third Proportional to 132,321 and 281,711

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Solution

The third proportional to 132,321 and 281,711 is: 599,761.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,321 : 281,711 = 281,711 : x
  2. Step 2: Convert to fraction form
    132,321/281,711 = 281,711/x
  3. Step 3: Cross multiply
    132,321x = 281,711 × 281,711
  4. Step 4: Simplify right side
    132,321x = 79,361,087,521
  5. Step 5: Solve for x
    x = 79,361,087,521/132,321
  6. Step 6: Final answer
    x = 599,761.85

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.