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Finding the Third Proportional to 143,755.50 and 313,617

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Solution

The third proportional to 143,755.50 and 313,617 is: 684,186.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,755.50 : 313,617 = 313,617 : x
  2. Step 2: Convert to fraction form
    143,755.50/313,617 = 313,617/x
  3. Step 3: Cross multiply
    143,755.50x = 313,617 × 313,617
  4. Step 4: Simplify right side
    143,755.50x = 98,355,622,689
  5. Step 5: Solve for x
    x = 98,355,622,689/143,755.50
  6. Step 6: Final answer
    x = 684,186.85

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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.