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Finding the Third Proportional to 182,208 and 397,575

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Solution

The third proportional to 182,208 and 397,575 is: 867,502.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,208 : 397,575 = 397,575 : x
  2. Step 2: Convert to fraction form
    182,208/397,575 = 397,575/x
  3. Step 3: Cross multiply
    182,208x = 397,575 × 397,575
  4. Step 4: Simplify right side
    182,208x = 158,065,880,625
  5. Step 5: Solve for x
    x = 158,065,880,625/182,208
  6. Step 6: Final answer
    x = 867,502.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.