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Finding the Third Proportional to 126,294.75 and 276,372

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Solution

The third proportional to 126,294.75 and 276,372 is: 604,787.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,294.75 : 276,372 = 276,372 : x
  2. Step 2: Convert to fraction form
    126,294.75/276,372 = 276,372/x
  3. Step 3: Cross multiply
    126,294.75x = 276,372 × 276,372
  4. Step 4: Simplify right side
    126,294.75x = 76,381,482,384
  5. Step 5: Solve for x
    x = 76,381,482,384/126,294.75
  6. Step 6: Final answer
    x = 604,787.47

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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.