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Finding the Third Proportional to 125,906.25 and 270,447

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Solution

The third proportional to 125,906.25 and 270,447 is: 580,920.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,906.25 : 270,447 = 270,447 : x
  2. Step 2: Convert to fraction form
    125,906.25/270,447 = 270,447/x
  3. Step 3: Cross multiply
    125,906.25x = 270,447 × 270,447
  4. Step 4: Simplify right side
    125,906.25x = 73,141,579,809
  5. Step 5: Solve for x
    x = 73,141,579,809/125,906.25
  6. Step 6: Final answer
    x = 580,920.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.