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Finding the Third Proportional to 143,226.56 and 315,054.56

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Solution

The third proportional to 143,226.56 and 315,054.56 is: 693,023.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,226.56 : 315,054.56 = 315,054.56 : x
  2. Step 2: Convert to fraction form
    143,226.56/315,054.56 = 315,054.56/x
  3. Step 3: Cross multiply
    143,226.56x = 315,054.56 × 315,054.56
  4. Step 4: Simplify right side
    143,226.56x = 99,259,377,352.07
  5. Step 5: Solve for x
    x = 99,259,377,352.07/143,226.56
  6. Step 6: Final answer
    x = 693,023.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.