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Finding the Third Proportional to 147,541 and 221,456

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Solution

The third proportional to 147,541 and 221,456 is: 332,400.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,541 : 221,456 = 221,456 : x
  2. Step 2: Convert to fraction form
    147,541/221,456 = 221,456/x
  3. Step 3: Cross multiply
    147,541x = 221,456 × 221,456
  4. Step 4: Simplify right side
    147,541x = 49,042,759,936
  5. Step 5: Solve for x
    x = 49,042,759,936/147,541
  6. Step 6: Final answer
    x = 332,400.89

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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.