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Finding the Third Proportional to 143,743.50 and 315,738

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Solution

The third proportional to 143,743.50 and 315,738 is: 693,530.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,743.50 : 315,738 = 315,738 : x
  2. Step 2: Convert to fraction form
    143,743.50/315,738 = 315,738/x
  3. Step 3: Cross multiply
    143,743.50x = 315,738 × 315,738
  4. Step 4: Simplify right side
    143,743.50x = 99,690,484,644
  5. Step 5: Solve for x
    x = 99,690,484,644/143,743.50
  6. Step 6: Final answer
    x = 693,530.38

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