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Finding the Third Proportional to 147,888 and 221,760

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Solution

The third proportional to 147,888 and 221,760 is: 332,532.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,888 : 221,760 = 221,760 : x
  2. Step 2: Convert to fraction form
    147,888/221,760 = 221,760/x
  3. Step 3: Cross multiply
    147,888x = 221,760 × 221,760
  4. Step 4: Simplify right side
    147,888x = 49,177,497,600
  5. Step 5: Solve for x
    x = 49,177,497,600/147,888
  6. Step 6: Final answer
    x = 332,532.04

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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.