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Finding the Third Proportional to 235,385.25 and 302,229.75

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Solution

The third proportional to 235,385.25 and 302,229.75 is: 388,056.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,385.25 : 302,229.75 = 302,229.75 : x
  2. Step 2: Convert to fraction form
    235,385.25/302,229.75 = 302,229.75/x
  3. Step 3: Cross multiply
    235,385.25x = 302,229.75 × 302,229.75
  4. Step 4: Simplify right side
    235,385.25x = 91,342,821,785.06
  5. Step 5: Solve for x
    x = 91,342,821,785.06/235,385.25
  6. Step 6: Final answer
    x = 388,056.69

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.