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Finding the Third Proportional to 140,813.25 and 217,905

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Solution

The third proportional to 140,813.25 and 217,905 is: 337,202.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,813.25 : 217,905 = 217,905 : x
  2. Step 2: Convert to fraction form
    140,813.25/217,905 = 217,905/x
  3. Step 3: Cross multiply
    140,813.25x = 217,905 × 217,905
  4. Step 4: Simplify right side
    140,813.25x = 47,482,589,025
  5. Step 5: Solve for x
    x = 47,482,589,025/140,813.25
  6. Step 6: Final answer
    x = 337,202.56

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Why These Related Problems?

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