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Finding the Third Proportional to 194,612 and 418,328

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Solution

The third proportional to 194,612 and 418,328 is: 899,216.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,612 : 418,328 = 418,328 : x
  2. Step 2: Convert to fraction form
    194,612/418,328 = 418,328/x
  3. Step 3: Cross multiply
    194,612x = 418,328 × 418,328
  4. Step 4: Simplify right side
    194,612x = 174,998,315,584
  5. Step 5: Solve for x
    x = 174,998,315,584/194,612
  6. Step 6: Final answer
    x = 899,216.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.