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Finding the Third Proportional to 187,524 and 404,367

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Solution

The third proportional to 187,524 and 404,367 is: 871,955.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,524 : 404,367 = 404,367 : x
  2. Step 2: Convert to fraction form
    187,524/404,367 = 404,367/x
  3. Step 3: Cross multiply
    187,524x = 404,367 × 404,367
  4. Step 4: Simplify right side
    187,524x = 163,512,670,689
  5. Step 5: Solve for x
    x = 163,512,670,689/187,524
  6. Step 6: Final answer
    x = 871,955.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.