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Finding the Third Proportional to 195,957 and 286,374

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Solution

The third proportional to 195,957 and 286,374 is: 418,510.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,957 : 286,374 = 286,374 : x
  2. Step 2: Convert to fraction form
    195,957/286,374 = 286,374/x
  3. Step 3: Cross multiply
    195,957x = 286,374 × 286,374
  4. Step 4: Simplify right side
    195,957x = 82,010,067,876
  5. Step 5: Solve for x
    x = 82,010,067,876/195,957
  6. Step 6: Final answer
    x = 418,510.53

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.