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Finding the Third Proportional to 79,432 and 165,400

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Solution

The third proportional to 79,432 and 165,400 is: 344,409.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,432 : 165,400 = 165,400 : x
  2. Step 2: Convert to fraction form
    79,432/165,400 = 165,400/x
  3. Step 3: Cross multiply
    79,432x = 165,400 × 165,400
  4. Step 4: Simplify right side
    79,432x = 27,357,160,000
  5. Step 5: Solve for x
    x = 27,357,160,000/79,432
  6. Step 6: Final answer
    x = 344,409.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.