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Finding the Third Proportional to 187,483 and 267,910

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Solution

The third proportional to 187,483 and 267,910 is: 382,838.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,483 : 267,910 = 267,910 : x
  2. Step 2: Convert to fraction form
    187,483/267,910 = 267,910/x
  3. Step 3: Cross multiply
    187,483x = 267,910 × 267,910
  4. Step 4: Simplify right side
    187,483x = 71,775,768,100
  5. Step 5: Solve for x
    x = 71,775,768,100/187,483
  6. Step 6: Final answer
    x = 382,838.81

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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.