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Finding the Third Proportional to 165,057.75 and 246,918.38

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Solution

The third proportional to 165,057.75 and 246,918.38 is: 369,377.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,057.75 : 246,918.38 = 246,918.38 : x
  2. Step 2: Convert to fraction form
    165,057.75/246,918.38 = 246,918.38/x
  3. Step 3: Cross multiply
    165,057.75x = 246,918.38 × 246,918.38
  4. Step 4: Simplify right side
    165,057.75x = 60,968,683,912.64
  5. Step 5: Solve for x
    x = 60,968,683,912.64/165,057.75
  6. Step 6: Final answer
    x = 369,377.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.