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Finding the Third Proportional to 180,337.92 and 281,424.80

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Solution

The third proportional to 180,337.92 and 281,424.80 is: 439,175.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,337.92 : 281,424.80 = 281,424.80 : x
  2. Step 2: Convert to fraction form
    180,337.92/281,424.80 = 281,424.80/x
  3. Step 3: Cross multiply
    180,337.92x = 281,424.80 × 281,424.80
  4. Step 4: Simplify right side
    180,337.92x = 79,199,916,296.14
  5. Step 5: Solve for x
    x = 79,199,916,296.14/180,337.92
  6. Step 6: Final answer
    x = 439,175.05

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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.