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Finding the Third Proportional to 107,268.75 and 232,989.75

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Solution

The third proportional to 107,268.75 and 232,989.75 is: 506,058.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,268.75 : 232,989.75 = 232,989.75 : x
  2. Step 2: Convert to fraction form
    107,268.75/232,989.75 = 232,989.75/x
  3. Step 3: Cross multiply
    107,268.75x = 232,989.75 × 232,989.75
  4. Step 4: Simplify right side
    107,268.75x = 54,284,223,605.06
  5. Step 5: Solve for x
    x = 54,284,223,605.06/107,268.75
  6. Step 6: Final answer
    x = 506,058.14

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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.