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Finding the Third Proportional to 186,772.50 and 412,791.75

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Solution

The third proportional to 186,772.50 and 412,791.75 is: 912,323.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,772.50 : 412,791.75 = 412,791.75 : x
  2. Step 2: Convert to fraction form
    186,772.50/412,791.75 = 412,791.75/x
  3. Step 3: Cross multiply
    186,772.50x = 412,791.75 × 412,791.75
  4. Step 4: Simplify right side
    186,772.50x = 170,397,028,868.06
  5. Step 5: Solve for x
    x = 170,397,028,868.06/186,772.50
  6. Step 6: Final answer
    x = 912,323.97

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.