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Finding the Third Proportional to 126,352 and 276,442

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Solution

The third proportional to 126,352 and 276,442 is: 604,819.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,352 : 276,442 = 276,442 : x
  2. Step 2: Convert to fraction form
    126,352/276,442 = 276,442/x
  3. Step 3: Cross multiply
    126,352x = 276,442 × 276,442
  4. Step 4: Simplify right side
    126,352x = 76,420,179,364
  5. Step 5: Solve for x
    x = 76,420,179,364/126,352
  6. Step 6: Final answer
    x = 604,819.70

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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.