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Finding the Third Proportional to 187,401.09 and 267,084.84

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Solution

The third proportional to 187,401.09 and 267,084.84 is: 380,650.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,401.09 : 267,084.84 = 267,084.84 : x
  2. Step 2: Convert to fraction form
    187,401.09/267,084.84 = 267,084.84/x
  3. Step 3: Cross multiply
    187,401.09x = 267,084.84 × 267,084.84
  4. Step 4: Simplify right side
    187,401.09x = 71,334,313,760.96
  5. Step 5: Solve for x
    x = 71,334,313,760.96/187,401.09
  6. Step 6: Final answer
    x = 380,650.47

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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.