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Finding the Third Proportional to 175,228 and 274,560

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Solution

The third proportional to 175,228 and 274,560 is: 430,200.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,228 : 274,560 = 274,560 : x
  2. Step 2: Convert to fraction form
    175,228/274,560 = 274,560/x
  3. Step 3: Cross multiply
    175,228x = 274,560 × 274,560
  4. Step 4: Simplify right side
    175,228x = 75,383,193,600
  5. Step 5: Solve for x
    x = 75,383,193,600/175,228
  6. Step 6: Final answer
    x = 430,200.62

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.