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Finding the Third Proportional to 115,634.25 and 252,223.88

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Solution

The third proportional to 115,634.25 and 252,223.88 is: 550,156.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,634.25 : 252,223.88 = 252,223.88 : x
  2. Step 2: Convert to fraction form
    115,634.25/252,223.88 = 252,223.88/x
  3. Step 3: Cross multiply
    115,634.25x = 252,223.88 × 252,223.88
  4. Step 4: Simplify right side
    115,634.25x = 63,616,883,120.02
  5. Step 5: Solve for x
    x = 63,616,883,120.02/115,634.25
  6. Step 6: Final answer
    x = 550,156.06

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.