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Finding the Third Proportional to 223,222 and 336,847

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Solution

The third proportional to 223,222 and 336,847 is: 508,309.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,222 : 336,847 = 336,847 : x
  2. Step 2: Convert to fraction form
    223,222/336,847 = 336,847/x
  3. Step 3: Cross multiply
    223,222x = 336,847 × 336,847
  4. Step 4: Simplify right side
    223,222x = 113,465,901,409
  5. Step 5: Solve for x
    x = 113,465,901,409/223,222
  6. Step 6: Final answer
    x = 508,309.67

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.