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Finding the Third Proportional to 131,199.75 and 197,724.80

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Solution

The third proportional to 131,199.75 and 197,724.80 is: 297,981.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,199.75 : 197,724.80 = 197,724.80 : x
  2. Step 2: Convert to fraction form
    131,199.75/197,724.80 = 197,724.80/x
  3. Step 3: Cross multiply
    131,199.75x = 197,724.80 × 197,724.80
  4. Step 4: Simplify right side
    131,199.75x = 39,095,095,299.26
  5. Step 5: Solve for x
    x = 39,095,095,299.26/131,199.75
  6. Step 6: Final answer
    x = 297,981.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.