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Finding the Third Proportional to 163,656.75 and 222,121.13

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Solution

The third proportional to 163,656.75 and 222,121.13 is: 301,471.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,656.75 : 222,121.13 = 222,121.13 : x
  2. Step 2: Convert to fraction form
    163,656.75/222,121.13 = 222,121.13/x
  3. Step 3: Cross multiply
    163,656.75x = 222,121.13 × 222,121.13
  4. Step 4: Simplify right side
    163,656.75x = 49,337,794,171.27
  5. Step 5: Solve for x
    x = 49,337,794,171.27/163,656.75
  6. Step 6: Final answer
    x = 301,471.18

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.