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Finding the Third Proportional to 115,614.98 and 252,184.78

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Solution

The third proportional to 115,614.98 and 252,184.78 is: 550,077.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,614.98 : 252,184.78 = 252,184.78 : x
  2. Step 2: Convert to fraction form
    115,614.98/252,184.78 = 252,184.78/x
  3. Step 3: Cross multiply
    115,614.98x = 252,184.78 × 252,184.78
  4. Step 4: Simplify right side
    115,614.98x = 63,597,163,894.11
  5. Step 5: Solve for x
    x = 63,597,163,894.11/115,614.98
  6. Step 6: Final answer
    x = 550,077.17

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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.