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Finding the Third Proportional to 147,144 and 221,166

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Solution

The third proportional to 147,144 and 221,166 is: 332,425.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,144 : 221,166 = 221,166 : x
  2. Step 2: Convert to fraction form
    147,144/221,166 = 221,166/x
  3. Step 3: Cross multiply
    147,144x = 221,166 × 221,166
  4. Step 4: Simplify right side
    147,144x = 48,914,399,556
  5. Step 5: Solve for x
    x = 48,914,399,556/147,144
  6. Step 6: Final answer
    x = 332,425.38

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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.