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Finding the Third Proportional to 211,395 and 327,186

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Solution

The third proportional to 211,395 and 327,186 is: 506,401.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,395 : 327,186 = 327,186 : x
  2. Step 2: Convert to fraction form
    211,395/327,186 = 327,186/x
  3. Step 3: Cross multiply
    211,395x = 327,186 × 327,186
  4. Step 4: Simplify right side
    211,395x = 107,050,678,596
  5. Step 5: Solve for x
    x = 107,050,678,596/211,395
  6. Step 6: Final answer
    x = 506,401.19

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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.