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Finding the Third Proportional to 171,292 and 368,831

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Solution

The third proportional to 171,292 and 368,831 is: 794,177.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,292 : 368,831 = 368,831 : x
  2. Step 2: Convert to fraction form
    171,292/368,831 = 368,831/x
  3. Step 3: Cross multiply
    171,292x = 368,831 × 368,831
  4. Step 4: Simplify right side
    171,292x = 136,036,306,561
  5. Step 5: Solve for x
    x = 136,036,306,561/171,292
  6. Step 6: Final answer
    x = 794,177.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.