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Finding the Third Proportional to 198,024 and 402,936

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Solution

The third proportional to 198,024 and 402,936 is: 819,887.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,024 : 402,936 = 402,936 : x
  2. Step 2: Convert to fraction form
    198,024/402,936 = 402,936/x
  3. Step 3: Cross multiply
    198,024x = 402,936 × 402,936
  4. Step 4: Simplify right side
    198,024x = 162,357,420,096
  5. Step 5: Solve for x
    x = 162,357,420,096/198,024
  6. Step 6: Final answer
    x = 819,887.59

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.