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Finding the Third Proportional to 171,359 and 371,320

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Solution

The third proportional to 171,359 and 371,320 is: 804,618.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,359 : 371,320 = 371,320 : x
  2. Step 2: Convert to fraction form
    171,359/371,320 = 371,320/x
  3. Step 3: Cross multiply
    171,359x = 371,320 × 371,320
  4. Step 4: Simplify right side
    171,359x = 137,878,542,400
  5. Step 5: Solve for x
    x = 137,878,542,400/171,359
  6. Step 6: Final answer
    x = 804,618.04

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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.