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Finding the Third Proportional to 142,791.47 and 313,604.16

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Solution

The third proportional to 142,791.47 and 313,604.16 is: 688,749.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,791.47 : 313,604.16 = 313,604.16 : x
  2. Step 2: Convert to fraction form
    142,791.47/313,604.16 = 313,604.16/x
  3. Step 3: Cross multiply
    142,791.47x = 313,604.16 × 313,604.16
  4. Step 4: Simplify right side
    142,791.47x = 98,347,566,817.27
  5. Step 5: Solve for x
    x = 98,347,566,817.27/142,791.47
  6. Step 6: Final answer
    x = 688,749.60

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.