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Finding the Third Proportional to 198,057.50 and 298,036

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Solution

The third proportional to 198,057.50 and 298,036 is: 448,483.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,057.50 : 298,036 = 298,036 : x
  2. Step 2: Convert to fraction form
    198,057.50/298,036 = 298,036/x
  3. Step 3: Cross multiply
    198,057.50x = 298,036 × 298,036
  4. Step 4: Simplify right side
    198,057.50x = 88,825,457,296
  5. Step 5: Solve for x
    x = 88,825,457,296/198,057.50
  6. Step 6: Final answer
    x = 448,483.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.