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Finding the Third Proportional to 79,331 and 165,238

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Solution

The third proportional to 79,331 and 165,238 is: 344,173.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,331 : 165,238 = 165,238 : x
  2. Step 2: Convert to fraction form
    79,331/165,238 = 165,238/x
  3. Step 3: Cross multiply
    79,331x = 165,238 × 165,238
  4. Step 4: Simplify right side
    79,331x = 27,303,596,644
  5. Step 5: Solve for x
    x = 27,303,596,644/79,331
  6. Step 6: Final answer
    x = 344,173.11

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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.