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Finding the Third Proportional to 216,788.25 and 236,121.75

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Solution

The third proportional to 216,788.25 and 236,121.75 is: 257,179.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,788.25 : 236,121.75 = 236,121.75 : x
  2. Step 2: Convert to fraction form
    216,788.25/236,121.75 = 236,121.75/x
  3. Step 3: Cross multiply
    216,788.25x = 236,121.75 × 236,121.75
  4. Step 4: Simplify right side
    216,788.25x = 55,753,480,823.06
  5. Step 5: Solve for x
    x = 55,753,480,823.06/216,788.25
  6. Step 6: Final answer
    x = 257,179.44

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These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.