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Finding the Third Proportional to 141,843.75 and 307,326.75

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Solution

The third proportional to 141,843.75 and 307,326.75 is: 665,871.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,843.75 : 307,326.75 = 307,326.75 : x
  2. Step 2: Convert to fraction form
    141,843.75/307,326.75 = 307,326.75/x
  3. Step 3: Cross multiply
    141,843.75x = 307,326.75 × 307,326.75
  4. Step 4: Simplify right side
    141,843.75x = 94,449,731,265.56
  5. Step 5: Solve for x
    x = 94,449,731,265.56/141,843.75
  6. Step 6: Final answer
    x = 665,871.65

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.