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Finding the Third Proportional to 114,499.50 and 244,215.75

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Solution

The third proportional to 114,499.50 and 244,215.75 is: 520,887.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,499.50 : 244,215.75 = 244,215.75 : x
  2. Step 2: Convert to fraction form
    114,499.50/244,215.75 = 244,215.75/x
  3. Step 3: Cross multiply
    114,499.50x = 244,215.75 × 244,215.75
  4. Step 4: Simplify right side
    114,499.50x = 59,641,332,548.06
  5. Step 5: Solve for x
    x = 59,641,332,548.06/114,499.50
  6. Step 6: Final answer
    x = 520,887.28

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.