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Finding the Third Proportional to 134,949 and 198,049.50

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Solution

The third proportional to 134,949 and 198,049.50 is: 290,655.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,949 : 198,049.50 = 198,049.50 : x
  2. Step 2: Convert to fraction form
    134,949/198,049.50 = 198,049.50/x
  3. Step 3: Cross multiply
    134,949x = 198,049.50 × 198,049.50
  4. Step 4: Simplify right side
    134,949x = 39,223,604,450.25
  5. Step 5: Solve for x
    x = 39,223,604,450.25/134,949
  6. Step 6: Final answer
    x = 290,655.02

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.