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Finding the Third Proportional to 180,386 and 391,868

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Solution

The third proportional to 180,386 and 391,868 is: 851,288.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,386 : 391,868 = 391,868 : x
  2. Step 2: Convert to fraction form
    180,386/391,868 = 391,868/x
  3. Step 3: Cross multiply
    180,386x = 391,868 × 391,868
  4. Step 4: Simplify right side
    180,386x = 153,560,529,424
  5. Step 5: Solve for x
    x = 153,560,529,424/180,386
  6. Step 6: Final answer
    x = 851,288.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.