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Finding the Third Proportional to 187,458 and 267,164

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Solution

The third proportional to 187,458 and 267,164 is: 380,760.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,458 : 267,164 = 267,164 : x
  2. Step 2: Convert to fraction form
    187,458/267,164 = 267,164/x
  3. Step 3: Cross multiply
    187,458x = 267,164 × 267,164
  4. Step 4: Simplify right side
    187,458x = 71,376,602,896
  5. Step 5: Solve for x
    x = 71,376,602,896/187,458
  6. Step 6: Final answer
    x = 380,760.51

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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.