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Finding the Third Proportional to 177,387 and 394,141

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Solution

The third proportional to 177,387 and 394,141 is: 875,752.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,387 : 394,141 = 394,141 : x
  2. Step 2: Convert to fraction form
    177,387/394,141 = 394,141/x
  3. Step 3: Cross multiply
    177,387x = 394,141 × 394,141
  4. Step 4: Simplify right side
    177,387x = 155,347,127,881
  5. Step 5: Solve for x
    x = 155,347,127,881/177,387
  6. Step 6: Final answer
    x = 875,752.61

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.