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Finding the Third Proportional to 117,268.25 and 228,703.75

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Solution

The third proportional to 117,268.25 and 228,703.75 is: 446,032.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,268.25 : 228,703.75 = 228,703.75 : x
  2. Step 2: Convert to fraction form
    117,268.25/228,703.75 = 228,703.75/x
  3. Step 3: Cross multiply
    117,268.25x = 228,703.75 × 228,703.75
  4. Step 4: Simplify right side
    117,268.25x = 52,305,405,264.06
  5. Step 5: Solve for x
    x = 52,305,405,264.06/117,268.25
  6. Step 6: Final answer
    x = 446,032.11

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.