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Finding the Third Proportional to 180,606.90 and 281,251.62

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Solution

The third proportional to 180,606.90 and 281,251.62 is: 437,981.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,606.90 : 281,251.62 = 281,251.62 : x
  2. Step 2: Convert to fraction form
    180,606.90/281,251.62 = 281,251.62/x
  3. Step 3: Cross multiply
    180,606.90x = 281,251.62 × 281,251.62
  4. Step 4: Simplify right side
    180,606.90x = 79,102,472,170.58
  5. Step 5: Solve for x
    x = 79,102,472,170.58/180,606.90
  6. Step 6: Final answer
    x = 437,981.45

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.