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Finding the Third Proportional to 88,346.25 and 196,292.25

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Solution

The third proportional to 88,346.25 and 196,292.25 is: 436,132.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,346.25 : 196,292.25 = 196,292.25 : x
  2. Step 2: Convert to fraction form
    88,346.25/196,292.25 = 196,292.25/x
  3. Step 3: Cross multiply
    88,346.25x = 196,292.25 × 196,292.25
  4. Step 4: Simplify right side
    88,346.25x = 38,530,647,410.06
  5. Step 5: Solve for x
    x = 38,530,647,410.06/88,346.25
  6. Step 6: Final answer
    x = 436,132.23

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.