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Finding the Third Proportional to 159,660 and 266,089

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Solution

The third proportional to 159,660 and 266,089 is: 443,463.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,660 : 266,089 = 266,089 : x
  2. Step 2: Convert to fraction form
    159,660/266,089 = 266,089/x
  3. Step 3: Cross multiply
    159,660x = 266,089 × 266,089
  4. Step 4: Simplify right side
    159,660x = 70,803,355,921
  5. Step 5: Solve for x
    x = 70,803,355,921/159,660
  6. Step 6: Final answer
    x = 443,463.33

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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.