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Finding the Third Proportional to 212,749.50 and 454,092

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Solution

The third proportional to 212,749.50 and 454,092 is: 969,212.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,749.50 : 454,092 = 454,092 : x
  2. Step 2: Convert to fraction form
    212,749.50/454,092 = 454,092/x
  3. Step 3: Cross multiply
    212,749.50x = 454,092 × 454,092
  4. Step 4: Simplify right side
    212,749.50x = 206,199,544,464
  5. Step 5: Solve for x
    x = 206,199,544,464/212,749.50
  6. Step 6: Final answer
    x = 969,212.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.