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Finding the Third Proportional to 131,464 and 196,974

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Solution

The third proportional to 131,464 and 196,974 is: 295,128.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,464 : 196,974 = 196,974 : x
  2. Step 2: Convert to fraction form
    131,464/196,974 = 196,974/x
  3. Step 3: Cross multiply
    131,464x = 196,974 × 196,974
  4. Step 4: Simplify right side
    131,464x = 38,798,756,676
  5. Step 5: Solve for x
    x = 38,798,756,676/131,464
  6. Step 6: Final answer
    x = 295,128.37

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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.