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Finding the Third Proportional to 182,988 and 391,344

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Solution

The third proportional to 182,988 and 391,344 is: 836,940.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,988 : 391,344 = 391,344 : x
  2. Step 2: Convert to fraction form
    182,988/391,344 = 391,344/x
  3. Step 3: Cross multiply
    182,988x = 391,344 × 391,344
  4. Step 4: Simplify right side
    182,988x = 153,150,126,336
  5. Step 5: Solve for x
    x = 153,150,126,336/182,988
  6. Step 6: Final answer
    x = 836,940.82

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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.