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Finding the Third Proportional to 131,597.25 and 196,518.75

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Solution

The third proportional to 131,597.25 and 196,518.75 is: 293,468.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,597.25 : 196,518.75 = 196,518.75 : x
  2. Step 2: Convert to fraction form
    131,597.25/196,518.75 = 196,518.75/x
  3. Step 3: Cross multiply
    131,597.25x = 196,518.75 × 196,518.75
  4. Step 4: Simplify right side
    131,597.25x = 38,619,619,101.56
  5. Step 5: Solve for x
    x = 38,619,619,101.56/131,597.25
  6. Step 6: Final answer
    x = 293,468.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.