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Finding the Third Proportional to 102,422.25 and 223,521.75

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Solution

The third proportional to 102,422.25 and 223,521.75 is: 487,803.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,422.25 : 223,521.75 = 223,521.75 : x
  2. Step 2: Convert to fraction form
    102,422.25/223,521.75 = 223,521.75/x
  3. Step 3: Cross multiply
    102,422.25x = 223,521.75 × 223,521.75
  4. Step 4: Simplify right side
    102,422.25x = 49,961,972,723.06
  5. Step 5: Solve for x
    x = 49,961,972,723.06/102,422.25
  6. Step 6: Final answer
    x = 487,803.90

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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.