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Finding the Third Proportional to 159,659 and 266,088

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Solution

The third proportional to 159,659 and 266,088 is: 443,462.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,659 : 266,088 = 266,088 : x
  2. Step 2: Convert to fraction form
    159,659/266,088 = 266,088/x
  3. Step 3: Cross multiply
    159,659x = 266,088 × 266,088
  4. Step 4: Simplify right side
    159,659x = 70,802,823,744
  5. Step 5: Solve for x
    x = 70,802,823,744/159,659
  6. Step 6: Final answer
    x = 443,462.78

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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.