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Finding the Third Proportional to 198,949.50 and 304,233.75

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Solution

The third proportional to 198,949.50 and 304,233.75 is: 465,234.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,949.50 : 304,233.75 = 304,233.75 : x
  2. Step 2: Convert to fraction form
    198,949.50/304,233.75 = 304,233.75/x
  3. Step 3: Cross multiply
    198,949.50x = 304,233.75 × 304,233.75
  4. Step 4: Simplify right side
    198,949.50x = 92,558,174,639.06
  5. Step 5: Solve for x
    x = 92,558,174,639.06/198,949.50
  6. Step 6: Final answer
    x = 465,234.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.