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Finding the Third Proportional to 126,358 and 274,856

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Solution

The third proportional to 126,358 and 274,856 is: 597,871.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,358 : 274,856 = 274,856 : x
  2. Step 2: Convert to fraction form
    126,358/274,856 = 274,856/x
  3. Step 3: Cross multiply
    126,358x = 274,856 × 274,856
  4. Step 4: Simplify right side
    126,358x = 75,545,820,736
  5. Step 5: Solve for x
    x = 75,545,820,736/126,358
  6. Step 6: Final answer
    x = 597,871.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.