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Finding the Third Proportional to 131,838.75 and 273,019.50

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Solution

The third proportional to 131,838.75 and 273,019.50 is: 565,384.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,838.75 : 273,019.50 = 273,019.50 : x
  2. Step 2: Convert to fraction form
    131,838.75/273,019.50 = 273,019.50/x
  3. Step 3: Cross multiply
    131,838.75x = 273,019.50 × 273,019.50
  4. Step 4: Simplify right side
    131,838.75x = 74,539,647,380.25
  5. Step 5: Solve for x
    x = 74,539,647,380.25/131,838.75
  6. Step 6: Final answer
    x = 565,384.97

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.