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Finding the Third Proportional to 129,424.50 and 198,657.75

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Solution

The third proportional to 129,424.50 and 198,657.75 is: 304,926.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,424.50 : 198,657.75 = 198,657.75 : x
  2. Step 2: Convert to fraction form
    129,424.50/198,657.75 = 198,657.75/x
  3. Step 3: Cross multiply
    129,424.50x = 198,657.75 × 198,657.75
  4. Step 4: Simplify right side
    129,424.50x = 39,464,901,635.06
  5. Step 5: Solve for x
    x = 39,464,901,635.06/129,424.50
  6. Step 6: Final answer
    x = 304,926.05

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.