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Finding the Third Proportional to 79,452 and 165,436

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Solution

The third proportional to 79,452 and 165,436 is: 344,473.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,452 : 165,436 = 165,436 : x
  2. Step 2: Convert to fraction form
    79,452/165,436 = 165,436/x
  3. Step 3: Cross multiply
    79,452x = 165,436 × 165,436
  4. Step 4: Simplify right side
    79,452x = 27,369,070,096
  5. Step 5: Solve for x
    x = 27,369,070,096/79,452
  6. Step 6: Final answer
    x = 344,473.02

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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.