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Finding the Third Proportional to 182,986 and 391,340

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Solution

The third proportional to 182,986 and 391,340 is: 836,932.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,986 : 391,340 = 391,340 : x
  2. Step 2: Convert to fraction form
    182,986/391,340 = 391,340/x
  3. Step 3: Cross multiply
    182,986x = 391,340 × 391,340
  4. Step 4: Simplify right side
    182,986x = 153,146,995,600
  5. Step 5: Solve for x
    x = 153,146,995,600/182,986
  6. Step 6: Final answer
    x = 836,932.86

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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.