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Finding the Third Proportional to 180,288 and 391,680

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Solution

The third proportional to 180,288 and 391,680 is: 850,934.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,288 : 391,680 = 391,680 : x
  2. Step 2: Convert to fraction form
    180,288/391,680 = 391,680/x
  3. Step 3: Cross multiply
    180,288x = 391,680 × 391,680
  4. Step 4: Simplify right side
    180,288x = 153,413,222,400
  5. Step 5: Solve for x
    x = 153,413,222,400/180,288
  6. Step 6: Final answer
    x = 850,934.19

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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.