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Finding the Third Proportional to 157,215.50 and 222,245

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Solution

The third proportional to 157,215.50 and 222,245 is: 314,172.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,215.50 : 222,245 = 222,245 : x
  2. Step 2: Convert to fraction form
    157,215.50/222,245 = 222,245/x
  3. Step 3: Cross multiply
    157,215.50x = 222,245 × 222,245
  4. Step 4: Simplify right side
    157,215.50x = 49,392,840,025
  5. Step 5: Solve for x
    x = 49,392,840,025/157,215.50
  6. Step 6: Final answer
    x = 314,172.84

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.