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Finding the Third Proportional to 129,376 and 196,256

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Solution

The third proportional to 129,376 and 196,256 is: 297,709.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,376 : 196,256 = 196,256 : x
  2. Step 2: Convert to fraction form
    129,376/196,256 = 196,256/x
  3. Step 3: Cross multiply
    129,376x = 196,256 × 196,256
  4. Step 4: Simplify right side
    129,376x = 38,516,417,536
  5. Step 5: Solve for x
    x = 38,516,417,536/129,376
  6. Step 6: Final answer
    x = 297,709.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.