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Finding the Third Proportional to 173,886 and 419,767

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Solution

The third proportional to 173,886 and 419,767 is: 1,013,332.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,886 : 419,767 = 419,767 : x
  2. Step 2: Convert to fraction form
    173,886/419,767 = 419,767/x
  3. Step 3: Cross multiply
    173,886x = 419,767 × 419,767
  4. Step 4: Simplify right side
    173,886x = 176,204,334,289
  5. Step 5: Solve for x
    x = 176,204,334,289/173,886
  6. Step 6: Final answer
    x = 1,013,332.50

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.