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Finding the Third Proportional to 173,900 and 276,414

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Solution

The third proportional to 173,900 and 276,414 is: 439,359.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,900 : 276,414 = 276,414 : x
  2. Step 2: Convert to fraction form
    173,900/276,414 = 276,414/x
  3. Step 3: Cross multiply
    173,900x = 276,414 × 276,414
  4. Step 4: Simplify right side
    173,900x = 76,404,699,396
  5. Step 5: Solve for x
    x = 76,404,699,396/173,900
  6. Step 6: Final answer
    x = 439,359.97

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.