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Finding the Third Proportional to 218,404 and 329,145

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Solution

The third proportional to 218,404 and 329,145 is: 496,036.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,404 : 329,145 = 329,145 : x
  2. Step 2: Convert to fraction form
    218,404/329,145 = 329,145/x
  3. Step 3: Cross multiply
    218,404x = 329,145 × 329,145
  4. Step 4: Simplify right side
    218,404x = 108,336,431,025
  5. Step 5: Solve for x
    x = 108,336,431,025/218,404
  6. Step 6: Final answer
    x = 496,036.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.