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Finding the Third Proportional to 180,657 and 268,366

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Solution

The third proportional to 180,657 and 268,366 is: 398,657.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,657 : 268,366 = 268,366 : x
  2. Step 2: Convert to fraction form
    180,657/268,366 = 268,366/x
  3. Step 3: Cross multiply
    180,657x = 268,366 × 268,366
  4. Step 4: Simplify right side
    180,657x = 72,020,309,956
  5. Step 5: Solve for x
    x = 72,020,309,956/180,657
  6. Step 6: Final answer
    x = 398,657.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.