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Finding the Third Proportional to 131,928 and 197,892

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Solution

The third proportional to 131,928 and 197,892 is: 296,838

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,928 : 197,892 = 197,892 : x
  2. Step 2: Convert to fraction form
    131,928/197,892 = 197,892/x
  3. Step 3: Cross multiply
    131,928x = 197,892 × 197,892
  4. Step 4: Simplify right side
    131,928x = 39,161,243,664
  5. Step 5: Solve for x
    x = 39,161,243,664/131,928
  6. Step 6: Final answer
    x = 296,838

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.