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Finding the Third Proportional to 187,751.25 and 283,219.88

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Solution

The third proportional to 187,751.25 and 283,219.88 is: 427,232.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,751.25 : 283,219.88 = 283,219.88 : x
  2. Step 2: Convert to fraction form
    187,751.25/283,219.88 = 283,219.88/x
  3. Step 3: Cross multiply
    187,751.25x = 283,219.88 × 283,219.88
  4. Step 4: Simplify right side
    187,751.25x = 80,213,497,595.02
  5. Step 5: Solve for x
    x = 80,213,497,595.02/187,751.25
  6. Step 6: Final answer
    x = 427,232.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.