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Finding the Third Proportional to 144,238.22 and 239,400.56

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Solution

The third proportional to 144,238.22 and 239,400.56 is: 397,347.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,238.22 : 239,400.56 = 239,400.56 : x
  2. Step 2: Convert to fraction form
    144,238.22/239,400.56 = 239,400.56/x
  3. Step 3: Cross multiply
    144,238.22x = 239,400.56 × 239,400.56
  4. Step 4: Simplify right side
    144,238.22x = 57,312,629,325.32
  5. Step 5: Solve for x
    x = 57,312,629,325.32/144,238.22
  6. Step 6: Final answer
    x = 397,347.04

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.