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Finding the Third Proportional to 251,891 and 377,680.50

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Solution

The third proportional to 251,891 and 377,680.50 is: 566,286.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,891 : 377,680.50 = 377,680.50 : x
  2. Step 2: Convert to fraction form
    251,891/377,680.50 = 377,680.50/x
  3. Step 3: Cross multiply
    251,891x = 377,680.50 × 377,680.50
  4. Step 4: Simplify right side
    251,891x = 142,642,560,080.25
  5. Step 5: Solve for x
    x = 142,642,560,080.25/251,891
  6. Step 6: Final answer
    x = 566,286.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.