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Finding the Third Proportional to 106,540.31 and 236,728.41

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Solution

The third proportional to 106,540.31 and 236,728.41 is: 526,001.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,540.31 : 236,728.41 = 236,728.41 : x
  2. Step 2: Convert to fraction form
    106,540.31/236,728.41 = 236,728.41/x
  3. Step 3: Cross multiply
    106,540.31x = 236,728.41 × 236,728.41
  4. Step 4: Simplify right side
    106,540.31x = 56,040,338,325.67
  5. Step 5: Solve for x
    x = 56,040,338,325.67/106,540.31
  6. Step 6: Final answer
    x = 526,001.26

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.