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Finding the Third Proportional to 179,616.50 and 281,763.88

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Solution

The third proportional to 179,616.50 and 281,763.88 is: 442,002.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,616.50 : 281,763.88 = 281,763.88 : x
  2. Step 2: Convert to fraction form
    179,616.50/281,763.88 = 281,763.88/x
  3. Step 3: Cross multiply
    179,616.50x = 281,763.88 × 281,763.88
  4. Step 4: Simplify right side
    179,616.50x = 79,390,881,255.02
  5. Step 5: Solve for x
    x = 79,390,881,255.02/179,616.50
  6. Step 6: Final answer
    x = 442,002.16

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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.