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Finding the Third Proportional to 236,150.44 and 274,536.84

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Solution

The third proportional to 236,150.44 and 274,536.84 is: 319,162.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,150.44 : 274,536.84 = 274,536.84 : x
  2. Step 2: Convert to fraction form
    236,150.44/274,536.84 = 274,536.84/x
  3. Step 3: Cross multiply
    236,150.44x = 274,536.84 × 274,536.84
  4. Step 4: Simplify right side
    236,150.44x = 75,370,478,576.21
  5. Step 5: Solve for x
    x = 75,370,478,576.21/236,150.44
  6. Step 6: Final answer
    x = 319,162.99

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.