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Finding the Third Proportional to 126,246 and 196,377

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Solution

The third proportional to 126,246 and 196,377 is: 305,466.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,246 : 196,377 = 196,377 : x
  2. Step 2: Convert to fraction form
    126,246/196,377 = 196,377/x
  3. Step 3: Cross multiply
    126,246x = 196,377 × 196,377
  4. Step 4: Simplify right side
    126,246x = 38,563,926,129
  5. Step 5: Solve for x
    x = 38,563,926,129/126,246
  6. Step 6: Final answer
    x = 305,466.52

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.