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Finding the Third Proportional to 219,424 and 332,214

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Solution

The third proportional to 219,424 and 332,214 is: 502,981.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,424 : 332,214 = 332,214 : x
  2. Step 2: Convert to fraction form
    219,424/332,214 = 332,214/x
  3. Step 3: Cross multiply
    219,424x = 332,214 × 332,214
  4. Step 4: Simplify right side
    219,424x = 110,366,141,796
  5. Step 5: Solve for x
    x = 110,366,141,796/219,424
  6. Step 6: Final answer
    x = 502,981.18

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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.