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Finding the Third Proportional to 198,613.13 and 303,881.06

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Solution

The third proportional to 198,613.13 and 303,881.06 is: 464,942.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,613.13 : 303,881.06 = 303,881.06 : x
  2. Step 2: Convert to fraction form
    198,613.13/303,881.06 = 303,881.06/x
  3. Step 3: Cross multiply
    198,613.13x = 303,881.06 × 303,881.06
  4. Step 4: Simplify right side
    198,613.13x = 92,343,700,146.13
  5. Step 5: Solve for x
    x = 92,343,700,146.13/198,613.13
  6. Step 6: Final answer
    x = 464,942.59

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