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Finding the Third Proportional to 222,129.84 and 523,842.19

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Solution

The third proportional to 222,129.84 and 523,842.19 is: 1,235,361.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,129.84 : 523,842.19 = 523,842.19 : x
  2. Step 2: Convert to fraction form
    222,129.84/523,842.19 = 523,842.19/x
  3. Step 3: Cross multiply
    222,129.84x = 523,842.19 × 523,842.19
  4. Step 4: Simplify right side
    222,129.84x = 274,410,637,404.79
  5. Step 5: Solve for x
    x = 274,410,637,404.79/222,129.84
  6. Step 6: Final answer
    x = 1,235,361.41

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.