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Finding the Third Proportional to 143,900.50 and 308,945

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Solution

The third proportional to 143,900.50 and 308,945 is: 663,284.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,900.50 : 308,945 = 308,945 : x
  2. Step 2: Convert to fraction form
    143,900.50/308,945 = 308,945/x
  3. Step 3: Cross multiply
    143,900.50x = 308,945 × 308,945
  4. Step 4: Simplify right side
    143,900.50x = 95,447,013,025
  5. Step 5: Solve for x
    x = 95,447,013,025/143,900.50
  6. Step 6: Final answer
    x = 663,284.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.