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Finding the Third Proportional to 158,951.25 and 222,802.75

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Solution

The third proportional to 158,951.25 and 222,802.75 is: 312,303.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,951.25 : 222,802.75 = 222,802.75 : x
  2. Step 2: Convert to fraction form
    158,951.25/222,802.75 = 222,802.75/x
  3. Step 3: Cross multiply
    158,951.25x = 222,802.75 × 222,802.75
  4. Step 4: Simplify right side
    158,951.25x = 49,641,065,407.56
  5. Step 5: Solve for x
    x = 49,641,065,407.56/158,951.25
  6. Step 6: Final answer
    x = 312,303.71

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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.