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Finding the Third Proportional to 214,226 and 332,109

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Solution

The third proportional to 214,226 and 332,109 is: 514,859.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,226 : 332,109 = 332,109 : x
  2. Step 2: Convert to fraction form
    214,226/332,109 = 332,109/x
  3. Step 3: Cross multiply
    214,226x = 332,109 × 332,109
  4. Step 4: Simplify right side
    214,226x = 110,296,387,881
  5. Step 5: Solve for x
    x = 110,296,387,881/214,226
  6. Step 6: Final answer
    x = 514,859.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.