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Finding the Third Proportional to 237,854 and 326,166

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Solution

The third proportional to 237,854 and 326,166 is: 447,267.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,854 : 326,166 = 326,166 : x
  2. Step 2: Convert to fraction form
    237,854/326,166 = 326,166/x
  3. Step 3: Cross multiply
    237,854x = 326,166 × 326,166
  4. Step 4: Simplify right side
    237,854x = 106,384,259,556
  5. Step 5: Solve for x
    x = 106,384,259,556/237,854
  6. Step 6: Final answer
    x = 447,267.06

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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.