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Finding the Third Proportional to 79,325 and 166,432

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Solution

The third proportional to 79,325 and 166,432 is: 349,191.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,325 : 166,432 = 166,432 : x
  2. Step 2: Convert to fraction form
    79,325/166,432 = 166,432/x
  3. Step 3: Cross multiply
    79,325x = 166,432 × 166,432
  4. Step 4: Simplify right side
    79,325x = 27,699,610,624
  5. Step 5: Solve for x
    x = 27,699,610,624/79,325
  6. Step 6: Final answer
    x = 349,191.44

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.