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Finding the Third Proportional to 180,876 and 386,670

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Solution

The third proportional to 180,876 and 386,670 is: 826,608.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,876 : 386,670 = 386,670 : x
  2. Step 2: Convert to fraction form
    180,876/386,670 = 386,670/x
  3. Step 3: Cross multiply
    180,876x = 386,670 × 386,670
  4. Step 4: Simplify right side
    180,876x = 149,513,688,900
  5. Step 5: Solve for x
    x = 149,513,688,900/180,876
  6. Step 6: Final answer
    x = 826,608.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.