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Finding the Third Proportional to 126,299.25 and 276,381

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Solution

The third proportional to 126,299.25 and 276,381 is: 604,805.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,299.25 : 276,381 = 276,381 : x
  2. Step 2: Convert to fraction form
    126,299.25/276,381 = 276,381/x
  3. Step 3: Cross multiply
    126,299.25x = 276,381 × 276,381
  4. Step 4: Simplify right side
    126,299.25x = 76,386,457,161
  5. Step 5: Solve for x
    x = 76,386,457,161/126,299.25
  6. Step 6: Final answer
    x = 604,805.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.