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Finding the Third Proportional to 141,292.50 and 198,019.50

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Solution

The third proportional to 141,292.50 and 198,019.50 is: 277,521.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,292.50 : 198,019.50 = 198,019.50 : x
  2. Step 2: Convert to fraction form
    141,292.50/198,019.50 = 198,019.50/x
  3. Step 3: Cross multiply
    141,292.50x = 198,019.50 × 198,019.50
  4. Step 4: Simplify right side
    141,292.50x = 39,211,722,380.25
  5. Step 5: Solve for x
    x = 39,211,722,380.25/141,292.50
  6. Step 6: Final answer
    x = 277,521.61

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.