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Finding the Third Proportional to 142,799 and 313,625

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Solution

The third proportional to 142,799 and 313,625 is: 688,804.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,799 : 313,625 = 313,625 : x
  2. Step 2: Convert to fraction form
    142,799/313,625 = 313,625/x
  3. Step 3: Cross multiply
    142,799x = 313,625 × 313,625
  4. Step 4: Simplify right side
    142,799x = 98,360,640,625
  5. Step 5: Solve for x
    x = 98,360,640,625/142,799
  6. Step 6: Final answer
    x = 688,804.83

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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.