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Finding the Third Proportional to 180,327 and 391,758

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Solution

The third proportional to 180,327 and 391,758 is: 851,089.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,327 : 391,758 = 391,758 : x
  2. Step 2: Convert to fraction form
    180,327/391,758 = 391,758/x
  3. Step 3: Cross multiply
    180,327x = 391,758 × 391,758
  4. Step 4: Simplify right side
    180,327x = 153,474,330,564
  5. Step 5: Solve for x
    x = 153,474,330,564/180,327
  6. Step 6: Final answer
    x = 851,089.02

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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.