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Finding the Third Proportional to 196 and 294

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Solution

The third proportional to 196 and 294 is: 441

Step by Step Solution

  1. Step 1: Write the proportion equation
    196 : 294 = 294 : x
  2. Step 2: Convert to fraction form
    196/294 = 294/x
  3. Step 3: Cross multiply
    196x = 294 × 294
  4. Step 4: Simplify right side
    196x = 86,436
  5. Step 5: Solve for x
    x = 86,436/196
  6. Step 6: Final answer
    x = 441

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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.