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Finding the Third Proportional to 173,797.31 and 263,147.91

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Solution

The third proportional to 173,797.31 and 263,147.91 is: 398,434.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,797.31 : 263,147.91 = 263,147.91 : x
  2. Step 2: Convert to fraction form
    173,797.31/263,147.91 = 263,147.91/x
  3. Step 3: Cross multiply
    173,797.31x = 263,147.91 × 263,147.91
  4. Step 4: Simplify right side
    173,797.31x = 69,246,820,563.76
  5. Step 5: Solve for x
    x = 69,246,820,563.76/173,797.31
  6. Step 6: Final answer
    x = 398,434.36

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.