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Finding the Third Proportional to 131,276.25 and 196,873.50

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Solution

The third proportional to 131,276.25 and 196,873.50 is: 295,248.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,276.25 : 196,873.50 = 196,873.50 : x
  2. Step 2: Convert to fraction form
    131,276.25/196,873.50 = 196,873.50/x
  3. Step 3: Cross multiply
    131,276.25x = 196,873.50 × 196,873.50
  4. Step 4: Simplify right side
    131,276.25x = 38,759,175,002.25
  5. Step 5: Solve for x
    x = 38,759,175,002.25/131,276.25
  6. Step 6: Final answer
    x = 295,248.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.