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Finding the Third Proportional to 102,806 and 226,348

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Solution

The third proportional to 102,806 and 226,348 is: 498,350.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,806 : 226,348 = 226,348 : x
  2. Step 2: Convert to fraction form
    102,806/226,348 = 226,348/x
  3. Step 3: Cross multiply
    102,806x = 226,348 × 226,348
  4. Step 4: Simplify right side
    102,806x = 51,233,417,104
  5. Step 5: Solve for x
    x = 51,233,417,104/102,806
  6. Step 6: Final answer
    x = 498,350.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.