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Finding the Third Proportional to 115,058.25 and 247,194

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Solution

The third proportional to 115,058.25 and 247,194 is: 531,077.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,058.25 : 247,194 = 247,194 : x
  2. Step 2: Convert to fraction form
    115,058.25/247,194 = 247,194/x
  3. Step 3: Cross multiply
    115,058.25x = 247,194 × 247,194
  4. Step 4: Simplify right side
    115,058.25x = 61,104,873,636
  5. Step 5: Solve for x
    x = 61,104,873,636/115,058.25
  6. Step 6: Final answer
    x = 531,077.72

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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.