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Finding the Third Proportional to 181,344 and 391,884

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Solution

The third proportional to 181,344 and 391,884 is: 846,860.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,344 : 391,884 = 391,884 : x
  2. Step 2: Convert to fraction form
    181,344/391,884 = 391,884/x
  3. Step 3: Cross multiply
    181,344x = 391,884 × 391,884
  4. Step 4: Simplify right side
    181,344x = 153,573,069,456
  5. Step 5: Solve for x
    x = 153,573,069,456/181,344
  6. Step 6: Final answer
    x = 846,860.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.