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Finding the Third Proportional to 158,950.75 and 222,802

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Solution

The third proportional to 158,950.75 and 222,802 is: 312,302.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,950.75 : 222,802 = 222,802 : x
  2. Step 2: Convert to fraction form
    158,950.75/222,802 = 222,802/x
  3. Step 3: Cross multiply
    158,950.75x = 222,802 × 222,802
  4. Step 4: Simplify right side
    158,950.75x = 49,640,731,204
  5. Step 5: Solve for x
    x = 49,640,731,204/158,950.75
  6. Step 6: Final answer
    x = 312,302.59

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.