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Finding the Third Proportional to 165,197.25 and 238,497.75

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Solution

The third proportional to 165,197.25 and 238,497.75 is: 344,322.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,197.25 : 238,497.75 = 238,497.75 : x
  2. Step 2: Convert to fraction form
    165,197.25/238,497.75 = 238,497.75/x
  3. Step 3: Cross multiply
    165,197.25x = 238,497.75 × 238,497.75
  4. Step 4: Simplify right side
    165,197.25x = 56,881,176,755.06
  5. Step 5: Solve for x
    x = 56,881,176,755.06/165,197.25
  6. Step 6: Final answer
    x = 344,322.78

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.