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Finding the Third Proportional to 222,356 and 332,926

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Solution

The third proportional to 222,356 and 332,926 is: 498,478.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,356 : 332,926 = 332,926 : x
  2. Step 2: Convert to fraction form
    222,356/332,926 = 332,926/x
  3. Step 3: Cross multiply
    222,356x = 332,926 × 332,926
  4. Step 4: Simplify right side
    222,356x = 110,839,721,476
  5. Step 5: Solve for x
    x = 110,839,721,476/222,356
  6. Step 6: Final answer
    x = 498,478.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.