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Finding the Third Proportional to 165,851.25 and 248,516.25

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Solution

The third proportional to 165,851.25 and 248,516.25 is: 372,383.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,851.25 : 248,516.25 = 248,516.25 : x
  2. Step 2: Convert to fraction form
    165,851.25/248,516.25 = 248,516.25/x
  3. Step 3: Cross multiply
    165,851.25x = 248,516.25 × 248,516.25
  4. Step 4: Simplify right side
    165,851.25x = 61,760,326,514.06
  5. Step 5: Solve for x
    x = 61,760,326,514.06/165,851.25
  6. Step 6: Final answer
    x = 372,383.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.