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Finding the Third Proportional to 141,396.75 and 304,932.75

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Solution

The third proportional to 141,396.75 and 304,932.75 is: 657,610.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,396.75 : 304,932.75 = 304,932.75 : x
  2. Step 2: Convert to fraction form
    141,396.75/304,932.75 = 304,932.75/x
  3. Step 3: Cross multiply
    141,396.75x = 304,932.75 × 304,932.75
  4. Step 4: Simplify right side
    141,396.75x = 92,983,982,022.56
  5. Step 5: Solve for x
    x = 92,983,982,022.56/141,396.75
  6. Step 6: Final answer
    x = 657,610.46

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.