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Finding the Third Proportional to 83,186 and 180,386

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Solution

The third proportional to 83,186 and 180,386 is: 391,160.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,186 : 180,386 = 180,386 : x
  2. Step 2: Convert to fraction form
    83,186/180,386 = 180,386/x
  3. Step 3: Cross multiply
    83,186x = 180,386 × 180,386
  4. Step 4: Simplify right side
    83,186x = 32,539,108,996
  5. Step 5: Solve for x
    x = 32,539,108,996/83,186
  6. Step 6: Final answer
    x = 391,160.88

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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.