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Finding the Third Proportional to 131,258 and 196,846

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Solution

The third proportional to 131,258 and 196,846 is: 295,207.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,258 : 196,846 = 196,846 : x
  2. Step 2: Convert to fraction form
    131,258/196,846 = 196,846/x
  3. Step 3: Cross multiply
    131,258x = 196,846 × 196,846
  4. Step 4: Simplify right side
    131,258x = 38,748,347,716
  5. Step 5: Solve for x
    x = 38,748,347,716/131,258
  6. Step 6: Final answer
    x = 295,207.51

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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.