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Finding the Third Proportional to 129,813.75 and 196,449.75

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Solution

The third proportional to 129,813.75 and 196,449.75 is: 297,291.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,813.75 : 196,449.75 = 196,449.75 : x
  2. Step 2: Convert to fraction form
    129,813.75/196,449.75 = 196,449.75/x
  3. Step 3: Cross multiply
    129,813.75x = 196,449.75 × 196,449.75
  4. Step 4: Simplify right side
    129,813.75x = 38,592,504,275.06
  5. Step 5: Solve for x
    x = 38,592,504,275.06/129,813.75
  6. Step 6: Final answer
    x = 297,291.34

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.