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Finding the Third Proportional to 151,296.50 and 226,055

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Solution

The third proportional to 151,296.50 and 226,055 is: 337,753.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,296.50 : 226,055 = 226,055 : x
  2. Step 2: Convert to fraction form
    151,296.50/226,055 = 226,055/x
  3. Step 3: Cross multiply
    151,296.50x = 226,055 × 226,055
  4. Step 4: Simplify right side
    151,296.50x = 51,100,863,025
  5. Step 5: Solve for x
    x = 51,100,863,025/151,296.50
  6. Step 6: Final answer
    x = 337,753.11

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.