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Finding the Third Proportional to 152,441.25 and 226,451.25

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Solution

The third proportional to 152,441.25 and 226,451.25 is: 336,392.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,441.25 : 226,451.25 = 226,451.25 : x
  2. Step 2: Convert to fraction form
    152,441.25/226,451.25 = 226,451.25/x
  3. Step 3: Cross multiply
    152,441.25x = 226,451.25 × 226,451.25
  4. Step 4: Simplify right side
    152,441.25x = 51,280,168,626.56
  5. Step 5: Solve for x
    x = 51,280,168,626.56/152,441.25
  6. Step 6: Final answer
    x = 336,392.99

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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.