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Finding the Third Proportional to 157,219.50 and 222,252

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Solution

The third proportional to 157,219.50 and 222,252 is: 314,184.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,219.50 : 222,252 = 222,252 : x
  2. Step 2: Convert to fraction form
    157,219.50/222,252 = 222,252/x
  3. Step 3: Cross multiply
    157,219.50x = 222,252 × 222,252
  4. Step 4: Simplify right side
    157,219.50x = 49,395,951,504
  5. Step 5: Solve for x
    x = 49,395,951,504/157,219.50
  6. Step 6: Final answer
    x = 314,184.64

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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.