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Finding the Third Proportional to 207,724.50 and 339,162.75

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Solution

The third proportional to 207,724.50 and 339,162.75 is: 553,768.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,724.50 : 339,162.75 = 339,162.75 : x
  2. Step 2: Convert to fraction form
    207,724.50/339,162.75 = 339,162.75/x
  3. Step 3: Cross multiply
    207,724.50x = 339,162.75 × 339,162.75
  4. Step 4: Simplify right side
    207,724.50x = 115,031,370,987.56
  5. Step 5: Solve for x
    x = 115,031,370,987.56/207,724.50
  6. Step 6: Final answer
    x = 553,768.92

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.