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Finding the Third Proportional to 117,920.25 and 244,284.75

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Solution

The third proportional to 117,920.25 and 244,284.75 is: 506,062.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,920.25 : 244,284.75 = 244,284.75 : x
  2. Step 2: Convert to fraction form
    117,920.25/244,284.75 = 244,284.75/x
  3. Step 3: Cross multiply
    117,920.25x = 244,284.75 × 244,284.75
  4. Step 4: Simplify right side
    117,920.25x = 59,675,039,082.56
  5. Step 5: Solve for x
    x = 59,675,039,082.56/117,920.25
  6. Step 6: Final answer
    x = 506,062.69

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.