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Finding the Third Proportional to 112,380.75 and 239,064.75

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Solution

The third proportional to 112,380.75 and 239,064.75 is: 508,556.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,380.75 : 239,064.75 = 239,064.75 : x
  2. Step 2: Convert to fraction form
    112,380.75/239,064.75 = 239,064.75/x
  3. Step 3: Cross multiply
    112,380.75x = 239,064.75 × 239,064.75
  4. Step 4: Simplify right side
    112,380.75x = 57,151,954,692.56
  5. Step 5: Solve for x
    x = 57,151,954,692.56/112,380.75
  6. Step 6: Final answer
    x = 508,556.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.