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Finding the Third Proportional to 151,692.75 and 222,056.44

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Solution

The third proportional to 151,692.75 and 222,056.44 is: 325,058.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,692.75 : 222,056.44 = 222,056.44 : x
  2. Step 2: Convert to fraction form
    151,692.75/222,056.44 = 222,056.44/x
  3. Step 3: Cross multiply
    151,692.75x = 222,056.44 × 222,056.44
  4. Step 4: Simplify right side
    151,692.75x = 49,309,061,435.19
  5. Step 5: Solve for x
    x = 49,309,061,435.19/151,692.75
  6. Step 6: Final answer
    x = 325,058.79

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.