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Finding the Third Proportional to 137,791.50 and 295,266

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Solution

The third proportional to 137,791.50 and 295,266 is: 632,709.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,791.50 : 295,266 = 295,266 : x
  2. Step 2: Convert to fraction form
    137,791.50/295,266 = 295,266/x
  3. Step 3: Cross multiply
    137,791.50x = 295,266 × 295,266
  4. Step 4: Simplify right side
    137,791.50x = 87,182,010,756
  5. Step 5: Solve for x
    x = 87,182,010,756/137,791.50
  6. Step 6: Final answer
    x = 632,709.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.