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Finding the Third Proportional to 159,686 and 266,127

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Solution

The third proportional to 159,686 and 266,127 is: 443,517.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,686 : 266,127 = 266,127 : x
  2. Step 2: Convert to fraction form
    159,686/266,127 = 266,127/x
  3. Step 3: Cross multiply
    159,686x = 266,127 × 266,127
  4. Step 4: Simplify right side
    159,686x = 70,823,580,129
  5. Step 5: Solve for x
    x = 70,823,580,129/159,686
  6. Step 6: Final answer
    x = 443,517.78

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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.