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Finding the Third Proportional to 210,832 and 326,102

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Solution

The third proportional to 210,832 and 326,102 is: 504,394.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,832 : 326,102 = 326,102 : x
  2. Step 2: Convert to fraction form
    210,832/326,102 = 326,102/x
  3. Step 3: Cross multiply
    210,832x = 326,102 × 326,102
  4. Step 4: Simplify right side
    210,832x = 106,342,514,404
  5. Step 5: Solve for x
    x = 106,342,514,404/210,832
  6. Step 6: Final answer
    x = 504,394.56

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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.