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Finding the Third Proportional to 182,018 and 275,571

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Solution

The third proportional to 182,018 and 275,571 is: 417,208.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,018 : 275,571 = 275,571 : x
  2. Step 2: Convert to fraction form
    182,018/275,571 = 275,571/x
  3. Step 3: Cross multiply
    182,018x = 275,571 × 275,571
  4. Step 4: Simplify right side
    182,018x = 75,939,376,041
  5. Step 5: Solve for x
    x = 75,939,376,041/182,018
  6. Step 6: Final answer
    x = 417,208.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.