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Finding the Third Proportional to 250,708 and 377,259

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Solution

The third proportional to 250,708 and 377,259 is: 567,689.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,708 : 377,259 = 377,259 : x
  2. Step 2: Convert to fraction form
    250,708/377,259 = 377,259/x
  3. Step 3: Cross multiply
    250,708x = 377,259 × 377,259
  4. Step 4: Simplify right side
    250,708x = 142,324,353,081
  5. Step 5: Solve for x
    x = 142,324,353,081/250,708
  6. Step 6: Final answer
    x = 567,689.72

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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.