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Finding the Third Proportional to 179,473 and 281,580

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Solution

The third proportional to 179,473 and 281,580 is: 441,778.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,473 : 281,580 = 281,580 : x
  2. Step 2: Convert to fraction form
    179,473/281,580 = 281,580/x
  3. Step 3: Cross multiply
    179,473x = 281,580 × 281,580
  4. Step 4: Simplify right side
    179,473x = 79,287,296,400
  5. Step 5: Solve for x
    x = 79,287,296,400/179,473
  6. Step 6: Final answer
    x = 441,778.41

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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.