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Finding the Third Proportional to 132,293.25 and 205,395.75

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Solution

The third proportional to 132,293.25 and 205,395.75 is: 318,893.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,293.25 : 205,395.75 = 205,395.75 : x
  2. Step 2: Convert to fraction form
    132,293.25/205,395.75 = 205,395.75/x
  3. Step 3: Cross multiply
    132,293.25x = 205,395.75 × 205,395.75
  4. Step 4: Simplify right side
    132,293.25x = 42,187,414,118.06
  5. Step 5: Solve for x
    x = 42,187,414,118.06/132,293.25
  6. Step 6: Final answer
    x = 318,893.17

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.