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Finding the Third Proportional to 222,245 and 470,938.75

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Solution

The third proportional to 222,245 and 470,938.75 is: 997,922.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,245 : 470,938.75 = 470,938.75 : x
  2. Step 2: Convert to fraction form
    222,245/470,938.75 = 470,938.75/x
  3. Step 3: Cross multiply
    222,245x = 470,938.75 × 470,938.75
  4. Step 4: Simplify right side
    222,245x = 221,783,306,251.56
  5. Step 5: Solve for x
    x = 221,783,306,251.56/222,245
  6. Step 6: Final answer
    x = 997,922.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.