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Finding the Third Proportional to 237,815 and 326,102

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Solution

The third proportional to 237,815 and 326,102 is: 447,164.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,815 : 326,102 = 326,102 : x
  2. Step 2: Convert to fraction form
    237,815/326,102 = 326,102/x
  3. Step 3: Cross multiply
    237,815x = 326,102 × 326,102
  4. Step 4: Simplify right side
    237,815x = 106,342,514,404
  5. Step 5: Solve for x
    x = 106,342,514,404/237,815
  6. Step 6: Final answer
    x = 447,164.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.