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Finding the Third Proportional to 143,940.75 and 304,489.50

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Solution

The third proportional to 143,940.75 and 304,489.50 is: 644,111.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,940.75 : 304,489.50 = 304,489.50 : x
  2. Step 2: Convert to fraction form
    143,940.75/304,489.50 = 304,489.50/x
  3. Step 3: Cross multiply
    143,940.75x = 304,489.50 × 304,489.50
  4. Step 4: Simplify right side
    143,940.75x = 92,713,855,610.25
  5. Step 5: Solve for x
    x = 92,713,855,610.25/143,940.75
  6. Step 6: Final answer
    x = 644,111.24

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.