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Finding the Third Proportional to 211,389 and 327,176

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Solution

The third proportional to 211,389 and 327,176 is: 506,384.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,389 : 327,176 = 327,176 : x
  2. Step 2: Convert to fraction form
    211,389/327,176 = 327,176/x
  3. Step 3: Cross multiply
    211,389x = 327,176 × 327,176
  4. Step 4: Simplify right side
    211,389x = 107,044,134,976
  5. Step 5: Solve for x
    x = 107,044,134,976/211,389
  6. Step 6: Final answer
    x = 506,384.60

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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.