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Finding the Third Proportional to 94,760 and 219,398

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Solution

The third proportional to 94,760 and 219,398 is: 507,972.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,760 : 219,398 = 219,398 : x
  2. Step 2: Convert to fraction form
    94,760/219,398 = 219,398/x
  3. Step 3: Cross multiply
    94,760x = 219,398 × 219,398
  4. Step 4: Simplify right side
    94,760x = 48,135,482,404
  5. Step 5: Solve for x
    x = 48,135,482,404/94,760
  6. Step 6: Final answer
    x = 507,972.59

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.