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Finding the Third Proportional to 225,067.50 and 348,383.25

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Solution

The third proportional to 225,067.50 and 348,383.25 is: 539,264.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,067.50 : 348,383.25 = 348,383.25 : x
  2. Step 2: Convert to fraction form
    225,067.50/348,383.25 = 348,383.25/x
  3. Step 3: Cross multiply
    225,067.50x = 348,383.25 × 348,383.25
  4. Step 4: Simplify right side
    225,067.50x = 121,370,888,880.56
  5. Step 5: Solve for x
    x = 121,370,888,880.56/225,067.50
  6. Step 6: Final answer
    x = 539,264.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.