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Finding the Third Proportional to 147,791.25 and 317,756.25

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Solution

The third proportional to 147,791.25 and 317,756.25 is: 683,186.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,791.25 : 317,756.25 = 317,756.25 : x
  2. Step 2: Convert to fraction form
    147,791.25/317,756.25 = 317,756.25/x
  3. Step 3: Cross multiply
    147,791.25x = 317,756.25 × 317,756.25
  4. Step 4: Simplify right side
    147,791.25x = 100,969,034,414.06
  5. Step 5: Solve for x
    x = 100,969,034,414.06/147,791.25
  6. Step 6: Final answer
    x = 683,186.82

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.