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Finding the Third Proportional to 159,677 and 266,115

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Solution

The third proportional to 159,677 and 266,115 is: 443,502.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,677 : 266,115 = 266,115 : x
  2. Step 2: Convert to fraction form
    159,677/266,115 = 266,115/x
  3. Step 3: Cross multiply
    159,677x = 266,115 × 266,115
  4. Step 4: Simplify right side
    159,677x = 70,817,193,225
  5. Step 5: Solve for x
    x = 70,817,193,225/159,677
  6. Step 6: Final answer
    x = 443,502.78

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.