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Finding the Third Proportional to 177,347.25 and 394,060.50

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Solution

The third proportional to 177,347.25 and 394,060.50 is: 875,591.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,347.25 : 394,060.50 = 394,060.50 : x
  2. Step 2: Convert to fraction form
    177,347.25/394,060.50 = 394,060.50/x
  3. Step 3: Cross multiply
    177,347.25x = 394,060.50 × 394,060.50
  4. Step 4: Simplify right side
    177,347.25x = 155,283,677,660.25
  5. Step 5: Solve for x
    x = 155,283,677,660.25/177,347.25
  6. Step 6: Final answer
    x = 875,591.12

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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.