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Finding the Third Proportional to 226,651.13 and 307,998.19

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Solution

The third proportional to 226,651.13 and 307,998.19 is: 418,541.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,651.13 : 307,998.19 = 307,998.19 : x
  2. Step 2: Convert to fraction form
    226,651.13/307,998.19 = 307,998.19/x
  3. Step 3: Cross multiply
    226,651.13x = 307,998.19 × 307,998.19
  4. Step 4: Simplify right side
    226,651.13x = 94,862,883,503.29
  5. Step 5: Solve for x
    x = 94,862,883,503.29/226,651.13
  6. Step 6: Final answer
    x = 418,541.42

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.