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Finding the Third Proportional to 171,382 and 371,367

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Solution

The third proportional to 171,382 and 371,367 is: 804,713.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,382 : 371,367 = 371,367 : x
  2. Step 2: Convert to fraction form
    171,382/371,367 = 371,367/x
  3. Step 3: Cross multiply
    171,382x = 371,367 × 371,367
  4. Step 4: Simplify right side
    171,382x = 137,913,448,689
  5. Step 5: Solve for x
    x = 137,913,448,689/171,382
  6. Step 6: Final answer
    x = 804,713.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.