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Finding the Third Proportional to 146,168 and 218,666

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Solution

The third proportional to 146,168 and 218,666 is: 327,122.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,168 : 218,666 = 218,666 : x
  2. Step 2: Convert to fraction form
    146,168/218,666 = 218,666/x
  3. Step 3: Cross multiply
    146,168x = 218,666 × 218,666
  4. Step 4: Simplify right side
    146,168x = 47,814,819,556
  5. Step 5: Solve for x
    x = 47,814,819,556/146,168
  6. Step 6: Final answer
    x = 327,122.35

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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.