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Finding the Third Proportional to 167,902 and 232,711

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Solution

The third proportional to 167,902 and 232,711 is: 322,535.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,902 : 232,711 = 232,711 : x
  2. Step 2: Convert to fraction form
    167,902/232,711 = 232,711/x
  3. Step 3: Cross multiply
    167,902x = 232,711 × 232,711
  4. Step 4: Simplify right side
    167,902x = 54,154,409,521
  5. Step 5: Solve for x
    x = 54,154,409,521/167,902
  6. Step 6: Final answer
    x = 322,535.82

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.