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Finding the Third Proportional to 80,199 and 162,342

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Solution

The third proportional to 80,199 and 162,342 is: 328,619.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,199 : 162,342 = 162,342 : x
  2. Step 2: Convert to fraction form
    80,199/162,342 = 162,342/x
  3. Step 3: Cross multiply
    80,199x = 162,342 × 162,342
  4. Step 4: Simplify right side
    80,199x = 26,354,924,964
  5. Step 5: Solve for x
    x = 26,354,924,964/80,199
  6. Step 6: Final answer
    x = 328,619.12

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.