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Finding the Third Proportional to 166,086 and 243,592

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Solution

The third proportional to 166,086 and 243,592 is: 357,267.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,086 : 243,592 = 243,592 : x
  2. Step 2: Convert to fraction form
    166,086/243,592 = 243,592/x
  3. Step 3: Cross multiply
    166,086x = 243,592 × 243,592
  4. Step 4: Simplify right side
    166,086x = 59,337,062,464
  5. Step 5: Solve for x
    x = 59,337,062,464/166,086
  6. Step 6: Final answer
    x = 357,267.09

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.