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Finding the Third Proportional to 187,832.25 and 281,829.38

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Solution

The third proportional to 187,832.25 and 281,829.38 is: 422,865.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,832.25 : 281,829.38 = 281,829.38 : x
  2. Step 2: Convert to fraction form
    187,832.25/281,829.38 = 281,829.38/x
  3. Step 3: Cross multiply
    187,832.25x = 281,829.38 × 281,829.38
  4. Step 4: Simplify right side
    187,832.25x = 79,427,796,612.89
  5. Step 5: Solve for x
    x = 79,427,796,612.89/187,832.25
  6. Step 6: Final answer
    x = 422,865.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.