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Finding the Third Proportional to 195,265 and 423,092

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Solution

The third proportional to 195,265 and 423,092 is: 916,737.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,265 : 423,092 = 423,092 : x
  2. Step 2: Convert to fraction form
    195,265/423,092 = 423,092/x
  3. Step 3: Cross multiply
    195,265x = 423,092 × 423,092
  4. Step 4: Simplify right side
    195,265x = 179,006,840,464
  5. Step 5: Solve for x
    x = 179,006,840,464/195,265
  6. Step 6: Final answer
    x = 916,737.97

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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.