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Finding the Third Proportional to 140,506.31 and 214,278.75

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Solution

The third proportional to 140,506.31 and 214,278.75 is: 326,785.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,506.31 : 214,278.75 = 214,278.75 : x
  2. Step 2: Convert to fraction form
    140,506.31/214,278.75 = 214,278.75/x
  3. Step 3: Cross multiply
    140,506.31x = 214,278.75 × 214,278.75
  4. Step 4: Simplify right side
    140,506.31x = 45,915,382,701.56
  5. Step 5: Solve for x
    x = 45,915,382,701.56/140,506.31
  6. Step 6: Final answer
    x = 326,785.19

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Why These Related Problems?

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