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Finding the Third Proportional to 159,661 and 266,090

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Solution

The third proportional to 159,661 and 266,090 is: 443,463.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,661 : 266,090 = 266,090 : x
  2. Step 2: Convert to fraction form
    159,661/266,090 = 266,090/x
  3. Step 3: Cross multiply
    159,661x = 266,090 × 266,090
  4. Step 4: Simplify right side
    159,661x = 70,803,888,100
  5. Step 5: Solve for x
    x = 70,803,888,100/159,661
  6. Step 6: Final answer
    x = 443,463.89

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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.