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Finding the Third Proportional to 74,982.38 and 177,005.25

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Solution

The third proportional to 74,982.38 and 177,005.25 is: 417,842.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,982.38 : 177,005.25 = 177,005.25 : x
  2. Step 2: Convert to fraction form
    74,982.38/177,005.25 = 177,005.25/x
  3. Step 3: Cross multiply
    74,982.38x = 177,005.25 × 177,005.25
  4. Step 4: Simplify right side
    74,982.38x = 31,330,858,527.56
  5. Step 5: Solve for x
    x = 31,330,858,527.56/74,982.38
  6. Step 6: Final answer
    x = 417,842.97

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.