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Finding the Third Proportional to 207,346 and 281,350

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Solution

The third proportional to 207,346 and 281,350 is: 381,766.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,346 : 281,350 = 281,350 : x
  2. Step 2: Convert to fraction form
    207,346/281,350 = 281,350/x
  3. Step 3: Cross multiply
    207,346x = 281,350 × 281,350
  4. Step 4: Simplify right side
    207,346x = 79,157,822,500
  5. Step 5: Solve for x
    x = 79,157,822,500/207,346
  6. Step 6: Final answer
    x = 381,766.82

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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.