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Finding the Third Proportional to 174,006 and 276,561

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Solution

The third proportional to 174,006 and 276,561 is: 439,559.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,006 : 276,561 = 276,561 : x
  2. Step 2: Convert to fraction form
    174,006/276,561 = 276,561/x
  3. Step 3: Cross multiply
    174,006x = 276,561 × 276,561
  4. Step 4: Simplify right side
    174,006x = 76,485,986,721
  5. Step 5: Solve for x
    x = 76,485,986,721/174,006
  6. Step 6: Final answer
    x = 439,559.48

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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.