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Finding the Third Proportional to 182,429 and 391,830

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Solution

The third proportional to 182,429 and 391,830 is: 841,591.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,429 : 391,830 = 391,830 : x
  2. Step 2: Convert to fraction form
    182,429/391,830 = 391,830/x
  3. Step 3: Cross multiply
    182,429x = 391,830 × 391,830
  4. Step 4: Simplify right side
    182,429x = 153,530,748,900
  5. Step 5: Solve for x
    x = 153,530,748,900/182,429
  6. Step 6: Final answer
    x = 841,591.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.