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Finding the Third Proportional to 160,449.75 and 281,526.75

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Solution

The third proportional to 160,449.75 and 281,526.75 is: 493,969.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,449.75 : 281,526.75 = 281,526.75 : x
  2. Step 2: Convert to fraction form
    160,449.75/281,526.75 = 281,526.75/x
  3. Step 3: Cross multiply
    160,449.75x = 281,526.75 × 281,526.75
  4. Step 4: Simplify right side
    160,449.75x = 79,257,310,965.56
  5. Step 5: Solve for x
    x = 79,257,310,965.56/160,449.75
  6. Step 6: Final answer
    x = 493,969.68

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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.