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Finding the Third Proportional to 227,175.75 and 495,615.38

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Solution

The third proportional to 227,175.75 and 495,615.38 is: 1,081,253.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,175.75 : 495,615.38 = 495,615.38 : x
  2. Step 2: Convert to fraction form
    227,175.75/495,615.38 = 495,615.38/x
  3. Step 3: Cross multiply
    227,175.75x = 495,615.38 × 495,615.38
  4. Step 4: Simplify right side
    227,175.75x = 245,634,599,936.39
  5. Step 5: Solve for x
    x = 245,634,599,936.39/227,175.75
  6. Step 6: Final answer
    x = 1,081,253.61

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Why These Related Problems?

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