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Finding the Third Proportional to 222,667.69 and 495,022.13

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Solution

The third proportional to 222,667.69 and 495,022.13 is: 1,100,505.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,667.69 : 495,022.13 = 495,022.13 : x
  2. Step 2: Convert to fraction form
    222,667.69/495,022.13 = 495,022.13/x
  3. Step 3: Cross multiply
    222,667.69x = 495,022.13 × 495,022.13
  4. Step 4: Simplify right side
    222,667.69x = 245,046,904,239.52
  5. Step 5: Solve for x
    x = 245,046,904,239.52/222,667.69
  6. Step 6: Final answer
    x = 1,100,505.00

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.