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Finding the Third Proportional to 194,338 and 258,330

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Solution

The third proportional to 194,338 and 258,330 is: 343,393.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,338 : 258,330 = 258,330 : x
  2. Step 2: Convert to fraction form
    194,338/258,330 = 258,330/x
  3. Step 3: Cross multiply
    194,338x = 258,330 × 258,330
  4. Step 4: Simplify right side
    194,338x = 66,734,388,900
  5. Step 5: Solve for x
    x = 66,734,388,900/194,338
  6. Step 6: Final answer
    x = 343,393.41

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.