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Finding the Third Proportional to 211,122 and 327,393

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Solution

The third proportional to 211,122 and 327,393 is: 507,697.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,122 : 327,393 = 327,393 : x
  2. Step 2: Convert to fraction form
    211,122/327,393 = 327,393/x
  3. Step 3: Cross multiply
    211,122x = 327,393 × 327,393
  4. Step 4: Simplify right side
    211,122x = 107,186,176,449
  5. Step 5: Solve for x
    x = 107,186,176,449/211,122
  6. Step 6: Final answer
    x = 507,697.81

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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.