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Finding the Third Proportional to 250,269.75 and 387,844.88

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Solution

The third proportional to 250,269.75 and 387,844.88 is: 601,046.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,269.75 : 387,844.88 = 387,844.88 : x
  2. Step 2: Convert to fraction form
    250,269.75/387,844.88 = 387,844.88/x
  3. Step 3: Cross multiply
    250,269.75x = 387,844.88 × 387,844.88
  4. Step 4: Simplify right side
    250,269.75x = 150,423,647,063.77
  5. Step 5: Solve for x
    x = 150,423,647,063.77/250,269.75
  6. Step 6: Final answer
    x = 601,046.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.