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Finding the Third Proportional to 198,029 and 263,968

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Solution

The third proportional to 198,029 and 263,968 is: 351,863.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,029 : 263,968 = 263,968 : x
  2. Step 2: Convert to fraction form
    198,029/263,968 = 263,968/x
  3. Step 3: Cross multiply
    198,029x = 263,968 × 263,968
  4. Step 4: Simplify right side
    198,029x = 69,679,105,024
  5. Step 5: Solve for x
    x = 69,679,105,024/198,029
  6. Step 6: Final answer
    x = 351,863.14

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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.