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Finding the Third Proportional to 173,871 and 419,732

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Solution

The third proportional to 173,871 and 419,732 is: 1,013,250.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,871 : 419,732 = 419,732 : x
  2. Step 2: Convert to fraction form
    173,871/419,732 = 419,732/x
  3. Step 3: Cross multiply
    173,871x = 419,732 × 419,732
  4. Step 4: Simplify right side
    173,871x = 176,174,951,824
  5. Step 5: Solve for x
    x = 176,174,951,824/173,871
  6. Step 6: Final answer
    x = 1,013,250.93

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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.