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Finding the Third Proportional to 217,732.50 and 342,150.75

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Solution

The third proportional to 217,732.50 and 342,150.75 is: 537,664.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,732.50 : 342,150.75 = 342,150.75 : x
  2. Step 2: Convert to fraction form
    217,732.50/342,150.75 = 342,150.75/x
  3. Step 3: Cross multiply
    217,732.50x = 342,150.75 × 342,150.75
  4. Step 4: Simplify right side
    217,732.50x = 117,067,135,725.56
  5. Step 5: Solve for x
    x = 117,067,135,725.56/217,732.50
  6. Step 6: Final answer
    x = 537,664.96

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.