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Finding the Third Proportional to 211,169 and 327,251

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Solution

The third proportional to 211,169 and 327,251 is: 507,144.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,169 : 327,251 = 327,251 : x
  2. Step 2: Convert to fraction form
    211,169/327,251 = 327,251/x
  3. Step 3: Cross multiply
    211,169x = 327,251 × 327,251
  4. Step 4: Simplify right side
    211,169x = 107,093,217,001
  5. Step 5: Solve for x
    x = 107,093,217,001/211,169
  6. Step 6: Final answer
    x = 507,144.60

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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.