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Finding the Third Proportional to 77,797.50 and 175,791.75

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Solution

The third proportional to 77,797.50 and 175,791.75 is: 397,220.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,797.50 : 175,791.75 = 175,791.75 : x
  2. Step 2: Convert to fraction form
    77,797.50/175,791.75 = 175,791.75/x
  3. Step 3: Cross multiply
    77,797.50x = 175,791.75 × 175,791.75
  4. Step 4: Simplify right side
    77,797.50x = 30,902,739,368.06
  5. Step 5: Solve for x
    x = 30,902,739,368.06/77,797.50
  6. Step 6: Final answer
    x = 397,220.21

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.