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Finding the Third Proportional to 160,444.13 and 281,520.56

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Solution

The third proportional to 160,444.13 and 281,520.56 is: 493,965.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,444.13 : 281,520.56 = 281,520.56 : x
  2. Step 2: Convert to fraction form
    160,444.13/281,520.56 = 281,520.56/x
  3. Step 3: Cross multiply
    160,444.13x = 281,520.56 × 281,520.56
  4. Step 4: Simplify right side
    160,444.13x = 79,253,827,110.32
  5. Step 5: Solve for x
    x = 79,253,827,110.32/160,444.13
  6. Step 6: Final answer
    x = 493,965.28

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.