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Finding the Third Proportional to 158,947 and 222,767

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Solution

The third proportional to 158,947 and 222,767 is: 312,211.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,947 : 222,767 = 222,767 : x
  2. Step 2: Convert to fraction form
    158,947/222,767 = 222,767/x
  3. Step 3: Cross multiply
    158,947x = 222,767 × 222,767
  4. Step 4: Simplify right side
    158,947x = 49,625,136,289
  5. Step 5: Solve for x
    x = 49,625,136,289/158,947
  6. Step 6: Final answer
    x = 312,211.85

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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.