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Finding the Third Proportional to 175,048 and 271,564

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Solution

The third proportional to 175,048 and 271,564 is: 421,295.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,048 : 271,564 = 271,564 : x
  2. Step 2: Convert to fraction form
    175,048/271,564 = 271,564/x
  3. Step 3: Cross multiply
    175,048x = 271,564 × 271,564
  4. Step 4: Simplify right side
    175,048x = 73,747,006,096
  5. Step 5: Solve for x
    x = 73,747,006,096/175,048
  6. Step 6: Final answer
    x = 421,295.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.