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Finding the Third Proportional to 80,214 and 174,282

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Solution

The third proportional to 80,214 and 174,282 is: 378,664.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,214 : 174,282 = 174,282 : x
  2. Step 2: Convert to fraction form
    80,214/174,282 = 174,282/x
  3. Step 3: Cross multiply
    80,214x = 174,282 × 174,282
  4. Step 4: Simplify right side
    80,214x = 30,374,215,524
  5. Step 5: Solve for x
    x = 30,374,215,524/80,214
  6. Step 6: Final answer
    x = 378,664.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.