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Finding the Third Proportional to 187,548 and 267,990

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Solution

The third proportional to 187,548 and 267,990 is: 382,934.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,548 : 267,990 = 267,990 : x
  2. Step 2: Convert to fraction form
    187,548/267,990 = 267,990/x
  3. Step 3: Cross multiply
    187,548x = 267,990 × 267,990
  4. Step 4: Simplify right side
    187,548x = 71,818,640,100
  5. Step 5: Solve for x
    x = 71,818,640,100/187,548
  6. Step 6: Final answer
    x = 382,934.72

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.