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Finding the Third Proportional to 179,496 and 281,600

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Solution

The third proportional to 179,496 and 281,600 is: 441,784.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,496 : 281,600 = 281,600 : x
  2. Step 2: Convert to fraction form
    179,496/281,600 = 281,600/x
  3. Step 3: Cross multiply
    179,496x = 281,600 × 281,600
  4. Step 4: Simplify right side
    179,496x = 79,298,560,000
  5. Step 5: Solve for x
    x = 79,298,560,000/179,496
  6. Step 6: Final answer
    x = 441,784.55

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.