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Finding the Third Proportional to 179,644.13 and 281,808.19

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Solution

The third proportional to 179,644.13 and 281,808.19 is: 442,073.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,644.13 : 281,808.19 = 281,808.19 : x
  2. Step 2: Convert to fraction form
    179,644.13/281,808.19 = 281,808.19/x
  3. Step 3: Cross multiply
    179,644.13x = 281,808.19 × 281,808.19
  4. Step 4: Simplify right side
    179,644.13x = 79,415,854,542.04
  5. Step 5: Solve for x
    x = 79,415,854,542.04/179,644.13
  6. Step 6: Final answer
    x = 442,073.21

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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.