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Finding the Third Proportional to 221,364 and 332,208

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Solution

The third proportional to 221,364 and 332,208 is: 498,555.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,364 : 332,208 = 332,208 : x
  2. Step 2: Convert to fraction form
    221,364/332,208 = 332,208/x
  3. Step 3: Cross multiply
    221,364x = 332,208 × 332,208
  4. Step 4: Simplify right side
    221,364x = 110,362,155,264
  5. Step 5: Solve for x
    x = 110,362,155,264/221,364
  6. Step 6: Final answer
    x = 498,555.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.