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Finding the Third Proportional to 226,840.50 and 495,231.75

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Solution

The third proportional to 226,840.50 and 495,231.75 is: 1,081,175.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,840.50 : 495,231.75 = 495,231.75 : x
  2. Step 2: Convert to fraction form
    226,840.50/495,231.75 = 495,231.75/x
  3. Step 3: Cross multiply
    226,840.50x = 495,231.75 × 495,231.75
  4. Step 4: Simplify right side
    226,840.50x = 245,254,486,208.06
  5. Step 5: Solve for x
    x = 245,254,486,208.06/226,840.50
  6. Step 6: Final answer
    x = 1,081,175.92

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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.