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Finding the Third Proportional to 131,440.50 and 196,943.06

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Solution

The third proportional to 131,440.50 and 196,943.06 is: 295,088.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,440.50 : 196,943.06 = 196,943.06 : x
  2. Step 2: Convert to fraction form
    131,440.50/196,943.06 = 196,943.06/x
  3. Step 3: Cross multiply
    131,440.50x = 196,943.06 × 196,943.06
  4. Step 4: Simplify right side
    131,440.50x = 38,786,569,866.88
  5. Step 5: Solve for x
    x = 38,786,569,866.88/131,440.50
  6. Step 6: Final answer
    x = 295,088.42

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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.