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Finding the Third Proportional to 155,738.25 and 222,705

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Solution

The third proportional to 155,738.25 and 222,705 is: 318,467.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,738.25 : 222,705 = 222,705 : x
  2. Step 2: Convert to fraction form
    155,738.25/222,705 = 222,705/x
  3. Step 3: Cross multiply
    155,738.25x = 222,705 × 222,705
  4. Step 4: Simplify right side
    155,738.25x = 49,597,517,025
  5. Step 5: Solve for x
    x = 49,597,517,025/155,738.25
  6. Step 6: Final answer
    x = 318,467.15

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.