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Finding the Third Proportional to 207,816.75 and 265,540.78

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Solution

The third proportional to 207,816.75 and 265,540.78 is: 339,298.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,816.75 : 265,540.78 = 265,540.78 : x
  2. Step 2: Convert to fraction form
    207,816.75/265,540.78 = 265,540.78/x
  3. Step 3: Cross multiply
    207,816.75x = 265,540.78 × 265,540.78
  4. Step 4: Simplify right side
    207,816.75x = 70,511,906,506.86
  5. Step 5: Solve for x
    x = 70,511,906,506.86/207,816.75
  6. Step 6: Final answer
    x = 339,298.48

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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.