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Finding the Third Proportional to 223,533 and 485,163

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Solution

The third proportional to 223,533 and 485,163 is: 1,053,012.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,533 : 485,163 = 485,163 : x
  2. Step 2: Convert to fraction form
    223,533/485,163 = 485,163/x
  3. Step 3: Cross multiply
    223,533x = 485,163 × 485,163
  4. Step 4: Simplify right side
    223,533x = 235,383,136,569
  5. Step 5: Solve for x
    x = 235,383,136,569/223,533
  6. Step 6: Final answer
    x = 1,053,012.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.