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Finding the Third Proportional to 217,001 and 335,971

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Solution

The third proportional to 217,001 and 335,971 is: 520,165.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,001 : 335,971 = 335,971 : x
  2. Step 2: Convert to fraction form
    217,001/335,971 = 335,971/x
  3. Step 3: Cross multiply
    217,001x = 335,971 × 335,971
  4. Step 4: Simplify right side
    217,001x = 112,876,512,841
  5. Step 5: Solve for x
    x = 112,876,512,841/217,001
  6. Step 6: Final answer
    x = 520,165.86

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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.