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Finding the Third Proportional to 166,544 and 240,744

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Solution

The third proportional to 166,544 and 240,744 is: 348,002.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,544 : 240,744 = 240,744 : x
  2. Step 2: Convert to fraction form
    166,544/240,744 = 240,744/x
  3. Step 3: Cross multiply
    166,544x = 240,744 × 240,744
  4. Step 4: Simplify right side
    166,544x = 57,957,673,536
  5. Step 5: Solve for x
    x = 57,957,673,536/166,544
  6. Step 6: Final answer
    x = 348,002.17

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.