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Finding the Third Proportional to 107,284.50 and 235,581.75

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Solution

The third proportional to 107,284.50 and 235,581.75 is: 517,304.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,284.50 : 235,581.75 = 235,581.75 : x
  2. Step 2: Convert to fraction form
    107,284.50/235,581.75 = 235,581.75/x
  3. Step 3: Cross multiply
    107,284.50x = 235,581.75 × 235,581.75
  4. Step 4: Simplify right side
    107,284.50x = 55,498,760,933.06
  5. Step 5: Solve for x
    x = 55,498,760,933.06/107,284.50
  6. Step 6: Final answer
    x = 517,304.56

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