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Finding the Third Proportional to 219,632 and 332,216

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Solution

The third proportional to 219,632 and 332,216 is: 502,510.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,632 : 332,216 = 332,216 : x
  2. Step 2: Convert to fraction form
    219,632/332,216 = 332,216/x
  3. Step 3: Cross multiply
    219,632x = 332,216 × 332,216
  4. Step 4: Simplify right side
    219,632x = 110,367,470,656
  5. Step 5: Solve for x
    x = 110,367,470,656/219,632
  6. Step 6: Final answer
    x = 502,510.88

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Why These Related Problems?

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