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Finding the Third Proportional to 147,744 and 221,564

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Solution

The third proportional to 147,744 and 221,564 is: 332,268.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,744 : 221,564 = 221,564 : x
  2. Step 2: Convert to fraction form
    147,744/221,564 = 221,564/x
  3. Step 3: Cross multiply
    147,744x = 221,564 × 221,564
  4. Step 4: Simplify right side
    147,744x = 49,090,606,096
  5. Step 5: Solve for x
    x = 49,090,606,096/147,744
  6. Step 6: Final answer
    x = 332,268.02

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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.