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Finding the Third Proportional to 143,596.13 and 305,349.75

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Solution

The third proportional to 143,596.13 and 305,349.75 is: 649,310.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,596.13 : 305,349.75 = 305,349.75 : x
  2. Step 2: Convert to fraction form
    143,596.13/305,349.75 = 305,349.75/x
  3. Step 3: Cross multiply
    143,596.13x = 305,349.75 × 305,349.75
  4. Step 4: Simplify right side
    143,596.13x = 93,238,469,825.06
  5. Step 5: Solve for x
    x = 93,238,469,825.06/143,596.13
  6. Step 6: Final answer
    x = 649,310.49

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.