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Finding the Third Proportional to 143,501.25 and 313,229.75

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Solution

The third proportional to 143,501.25 and 313,229.75 is: 683,707.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,501.25 : 313,229.75 = 313,229.75 : x
  2. Step 2: Convert to fraction form
    143,501.25/313,229.75 = 313,229.75/x
  3. Step 3: Cross multiply
    143,501.25x = 313,229.75 × 313,229.75
  4. Step 4: Simplify right side
    143,501.25x = 98,112,876,285.06
  5. Step 5: Solve for x
    x = 98,112,876,285.06/143,501.25
  6. Step 6: Final answer
    x = 683,707.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.