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Finding the Third Proportional to 143,434.50 and 315,177

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Solution

The third proportional to 143,434.50 and 315,177 is: 692,556.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,434.50 : 315,177 = 315,177 : x
  2. Step 2: Convert to fraction form
    143,434.50/315,177 = 315,177/x
  3. Step 3: Cross multiply
    143,434.50x = 315,177 × 315,177
  4. Step 4: Simplify right side
    143,434.50x = 99,336,541,329
  5. Step 5: Solve for x
    x = 99,336,541,329/143,434.50
  6. Step 6: Final answer
    x = 692,556.82

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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.