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Finding the Third Proportional to 83,274 and 180,588

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Solution

The third proportional to 83,274 and 180,588 is: 391,623.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,274 : 180,588 = 180,588 : x
  2. Step 2: Convert to fraction form
    83,274/180,588 = 180,588/x
  3. Step 3: Cross multiply
    83,274x = 180,588 × 180,588
  4. Step 4: Simplify right side
    83,274x = 32,612,025,744
  5. Step 5: Solve for x
    x = 32,612,025,744/83,274
  6. Step 6: Final answer
    x = 391,623.14

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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.