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Finding the Third Proportional to 226,064.25 and 307,023.75

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Solution

The third proportional to 226,064.25 and 307,023.75 is: 416,976.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,064.25 : 307,023.75 = 307,023.75 : x
  2. Step 2: Convert to fraction form
    226,064.25/307,023.75 = 307,023.75/x
  3. Step 3: Cross multiply
    226,064.25x = 307,023.75 × 307,023.75
  4. Step 4: Simplify right side
    226,064.25x = 94,263,583,064.06
  5. Step 5: Solve for x
    x = 94,263,583,064.06/226,064.25
  6. Step 6: Final answer
    x = 416,976.96

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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.