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Finding the Third Proportional to 132,426.75 and 271,833.75

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Solution

The third proportional to 132,426.75 and 271,833.75 is: 557,995.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,426.75 : 271,833.75 = 271,833.75 : x
  2. Step 2: Convert to fraction form
    132,426.75/271,833.75 = 271,833.75/x
  3. Step 3: Cross multiply
    132,426.75x = 271,833.75 × 271,833.75
  4. Step 4: Simplify right side
    132,426.75x = 73,893,587,639.06
  5. Step 5: Solve for x
    x = 73,893,587,639.06/132,426.75
  6. Step 6: Final answer
    x = 557,995.93

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.