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Finding the Third Proportional to 79,416 and 170,342

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Solution

The third proportional to 79,416 and 170,342 is: 365,372.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,416 : 170,342 = 170,342 : x
  2. Step 2: Convert to fraction form
    79,416/170,342 = 170,342/x
  3. Step 3: Cross multiply
    79,416x = 170,342 × 170,342
  4. Step 4: Simplify right side
    79,416x = 29,016,396,964
  5. Step 5: Solve for x
    x = 29,016,396,964/79,416
  6. Step 6: Final answer
    x = 365,372.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.