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Finding the Third Proportional to 222,099 and 338,670

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Solution

The third proportional to 222,099 and 338,670 is: 516,424.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,099 : 338,670 = 338,670 : x
  2. Step 2: Convert to fraction form
    222,099/338,670 = 338,670/x
  3. Step 3: Cross multiply
    222,099x = 338,670 × 338,670
  4. Step 4: Simplify right side
    222,099x = 114,697,368,900
  5. Step 5: Solve for x
    x = 114,697,368,900/222,099
  6. Step 6: Final answer
    x = 516,424.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.