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Finding the Third Proportional to 135,249.43 and 210,257.17

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Solution

The third proportional to 135,249.43 and 210,257.17 is: 326,863.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,249.43 : 210,257.17 = 210,257.17 : x
  2. Step 2: Convert to fraction form
    135,249.43/210,257.17 = 210,257.17/x
  3. Step 3: Cross multiply
    135,249.43x = 210,257.17 × 210,257.17
  4. Step 4: Simplify right side
    135,249.43x = 44,208,079,146.19
  5. Step 5: Solve for x
    x = 44,208,079,146.19/135,249.43
  6. Step 6: Final answer
    x = 326,863.32

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.