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Finding the Third Proportional to 178,564 and 270,150

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Solution

The third proportional to 178,564 and 270,150 is: 408,710.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,564 : 270,150 = 270,150 : x
  2. Step 2: Convert to fraction form
    178,564/270,150 = 270,150/x
  3. Step 3: Cross multiply
    178,564x = 270,150 × 270,150
  4. Step 4: Simplify right side
    178,564x = 72,981,022,500
  5. Step 5: Solve for x
    x = 72,981,022,500/178,564
  6. Step 6: Final answer
    x = 408,710.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.