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Finding the Third Proportional to 222,600 and 333,900

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Solution

The third proportional to 222,600 and 333,900 is: 500,850

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,600 : 333,900 = 333,900 : x
  2. Step 2: Convert to fraction form
    222,600/333,900 = 333,900/x
  3. Step 3: Cross multiply
    222,600x = 333,900 × 333,900
  4. Step 4: Simplify right side
    222,600x = 111,489,210,000
  5. Step 5: Solve for x
    x = 111,489,210,000/222,600
  6. Step 6: Final answer
    x = 500,850

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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.