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Finding the Third Proportional to 198,384.75 and 302,222.25

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Solution

The third proportional to 198,384.75 and 302,222.25 is: 460,409.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,384.75 : 302,222.25 = 302,222.25 : x
  2. Step 2: Convert to fraction form
    198,384.75/302,222.25 = 302,222.25/x
  3. Step 3: Cross multiply
    198,384.75x = 302,222.25 × 302,222.25
  4. Step 4: Simplify right side
    198,384.75x = 91,338,288,395.06
  5. Step 5: Solve for x
    x = 91,338,288,395.06/198,384.75
  6. Step 6: Final answer
    x = 460,409.83

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.