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Finding the Third Proportional to 102,275.25 and 218,764.50

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Solution

The third proportional to 102,275.25 and 218,764.50 is: 467,932.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,275.25 : 218,764.50 = 218,764.50 : x
  2. Step 2: Convert to fraction form
    102,275.25/218,764.50 = 218,764.50/x
  3. Step 3: Cross multiply
    102,275.25x = 218,764.50 × 218,764.50
  4. Step 4: Simplify right side
    102,275.25x = 47,857,906,460.25
  5. Step 5: Solve for x
    x = 47,857,906,460.25/102,275.25
  6. Step 6: Final answer
    x = 467,932.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.