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Finding the Third Proportional to 148,864 and 194,692

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Solution

The third proportional to 148,864 and 194,692 is: 254,628.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,864 : 194,692 = 194,692 : x
  2. Step 2: Convert to fraction form
    148,864/194,692 = 194,692/x
  3. Step 3: Cross multiply
    148,864x = 194,692 × 194,692
  4. Step 4: Simplify right side
    148,864x = 37,904,974,864
  5. Step 5: Solve for x
    x = 37,904,974,864/148,864
  6. Step 6: Final answer
    x = 254,628.22

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.