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Finding the Third Proportional to 207,332 and 281,330

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Solution

The third proportional to 207,332 and 281,330 is: 381,738.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,332 : 281,330 = 281,330 : x
  2. Step 2: Convert to fraction form
    207,332/281,330 = 281,330/x
  3. Step 3: Cross multiply
    207,332x = 281,330 × 281,330
  4. Step 4: Simplify right side
    207,332x = 79,146,568,900
  5. Step 5: Solve for x
    x = 79,146,568,900/207,332
  6. Step 6: Final answer
    x = 381,738.32

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.