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Finding the Third Proportional to 222,602.75 and 493,225

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Solution

The third proportional to 222,602.75 and 493,225 is: 1,092,847.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,602.75 : 493,225 = 493,225 : x
  2. Step 2: Convert to fraction form
    222,602.75/493,225 = 493,225/x
  3. Step 3: Cross multiply
    222,602.75x = 493,225 × 493,225
  4. Step 4: Simplify right side
    222,602.75x = 243,270,900,625
  5. Step 5: Solve for x
    x = 243,270,900,625/222,602.75
  6. Step 6: Final answer
    x = 1,092,847.69

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.