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Finding the Third Proportional to 131,448 and 196,946

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Solution

The third proportional to 131,448 and 196,946 is: 295,080.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,448 : 196,946 = 196,946 : x
  2. Step 2: Convert to fraction form
    131,448/196,946 = 196,946/x
  3. Step 3: Cross multiply
    131,448x = 196,946 × 196,946
  4. Step 4: Simplify right side
    131,448x = 38,787,726,916
  5. Step 5: Solve for x
    x = 38,787,726,916/131,448
  6. Step 6: Final answer
    x = 295,080.39

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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.