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Finding the Third Proportional to 117,425.81 and 261,745.31

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Solution

The third proportional to 117,425.81 and 261,745.31 is: 583,437.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,425.81 : 261,745.31 = 261,745.31 : x
  2. Step 2: Convert to fraction form
    117,425.81/261,745.31 = 261,745.31/x
  3. Step 3: Cross multiply
    117,425.81x = 261,745.31 × 261,745.31
  4. Step 4: Simplify right side
    117,425.81x = 68,510,608,615.72
  5. Step 5: Solve for x
    x = 68,510,608,615.72/117,425.81
  6. Step 6: Final answer
    x = 583,437.38

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.