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Finding the Third Proportional to 182,401 and 272,871

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Solution

The third proportional to 182,401 and 272,871 is: 408,213.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,401 : 272,871 = 272,871 : x
  2. Step 2: Convert to fraction form
    182,401/272,871 = 272,871/x
  3. Step 3: Cross multiply
    182,401x = 272,871 × 272,871
  4. Step 4: Simplify right side
    182,401x = 74,458,582,641
  5. Step 5: Solve for x
    x = 74,458,582,641/182,401
  6. Step 6: Final answer
    x = 408,213.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.