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Finding the Third Proportional to 182,612 and 391,000

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Solution

The third proportional to 182,612 and 391,000 is: 837,190.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,612 : 391,000 = 391,000 : x
  2. Step 2: Convert to fraction form
    182,612/391,000 = 391,000/x
  3. Step 3: Cross multiply
    182,612x = 391,000 × 391,000
  4. Step 4: Simplify right side
    182,612x = 152,881,000,000
  5. Step 5: Solve for x
    x = 152,881,000,000/182,612
  6. Step 6: Final answer
    x = 837,190.33

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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.