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Finding the Third Proportional to 133,331 and 281,650

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Solution

The third proportional to 133,331 and 281,650 is: 594,960.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,331 : 281,650 = 281,650 : x
  2. Step 2: Convert to fraction form
    133,331/281,650 = 281,650/x
  3. Step 3: Cross multiply
    133,331x = 281,650 × 281,650
  4. Step 4: Simplify right side
    133,331x = 79,326,722,500
  5. Step 5: Solve for x
    x = 79,326,722,500/133,331
  6. Step 6: Final answer
    x = 594,960.83

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.