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Finding the Third Proportional to 144,132.75 and 225,451.69

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Solution

The third proportional to 144,132.75 and 225,451.69 is: 352,650.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,132.75 : 225,451.69 = 225,451.69 : x
  2. Step 2: Convert to fraction form
    144,132.75/225,451.69 = 225,451.69/x
  3. Step 3: Cross multiply
    144,132.75x = 225,451.69 × 225,451.69
  4. Step 4: Simplify right side
    144,132.75x = 50,828,463,396.60
  5. Step 5: Solve for x
    x = 50,828,463,396.60/144,132.75
  6. Step 6: Final answer
    x = 352,650.34

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.