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Finding the Third Proportional to 236,892 and 313,002

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Solution

The third proportional to 236,892 and 313,002 is: 413,565.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,892 : 313,002 = 313,002 : x
  2. Step 2: Convert to fraction form
    236,892/313,002 = 313,002/x
  3. Step 3: Cross multiply
    236,892x = 313,002 × 313,002
  4. Step 4: Simplify right side
    236,892x = 97,970,252,004
  5. Step 5: Solve for x
    x = 97,970,252,004/236,892
  6. Step 6: Final answer
    x = 413,565.05

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.