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Finding the Third Proportional to 221,324 and 332,206

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Solution

The third proportional to 221,324 and 332,206 is: 498,639.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,324 : 332,206 = 332,206 : x
  2. Step 2: Convert to fraction form
    221,324/332,206 = 332,206/x
  3. Step 3: Cross multiply
    221,324x = 332,206 × 332,206
  4. Step 4: Simplify right side
    221,324x = 110,360,826,436
  5. Step 5: Solve for x
    x = 110,360,826,436/221,324
  6. Step 6: Final answer
    x = 498,639.22

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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.