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Finding the Third Proportional to 193,826.25 and 411,135.75

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Solution

The third proportional to 193,826.25 and 411,135.75 is: 872,083.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,826.25 : 411,135.75 = 411,135.75 : x
  2. Step 2: Convert to fraction form
    193,826.25/411,135.75 = 411,135.75/x
  3. Step 3: Cross multiply
    193,826.25x = 411,135.75 × 411,135.75
  4. Step 4: Simplify right side
    193,826.25x = 169,032,604,928.06
  5. Step 5: Solve for x
    x = 169,032,604,928.06/193,826.25
  6. Step 6: Final answer
    x = 872,083.14

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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.