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Finding the Third Proportional to 174,539 and 266,885

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Solution

The third proportional to 174,539 and 266,885 is: 408,089.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,539 : 266,885 = 266,885 : x
  2. Step 2: Convert to fraction form
    174,539/266,885 = 266,885/x
  3. Step 3: Cross multiply
    174,539x = 266,885 × 266,885
  4. Step 4: Simplify right side
    174,539x = 71,227,603,225
  5. Step 5: Solve for x
    x = 71,227,603,225/174,539
  6. Step 6: Final answer
    x = 408,089.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.