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Finding the Third Proportional to 131,301.75 and 205,757.25

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Solution

The third proportional to 131,301.75 and 205,757.25 is: 322,433.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,301.75 : 205,757.25 = 205,757.25 : x
  2. Step 2: Convert to fraction form
    131,301.75/205,757.25 = 205,757.25/x
  3. Step 3: Cross multiply
    131,301.75x = 205,757.25 × 205,757.25
  4. Step 4: Simplify right side
    131,301.75x = 42,336,045,927.56
  5. Step 5: Solve for x
    x = 42,336,045,927.56/131,301.75
  6. Step 6: Final answer
    x = 322,433.22

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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.