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Finding the Third Proportional to 214,066 and 329,151

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Solution

The third proportional to 214,066 and 329,151 is: 506,107.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,066 : 329,151 = 329,151 : x
  2. Step 2: Convert to fraction form
    214,066/329,151 = 329,151/x
  3. Step 3: Cross multiply
    214,066x = 329,151 × 329,151
  4. Step 4: Simplify right side
    214,066x = 108,340,380,801
  5. Step 5: Solve for x
    x = 108,340,380,801/214,066
  6. Step 6: Final answer
    x = 506,107.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.