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Finding the Third Proportional to 182,211 and 285,810

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Solution

The third proportional to 182,211 and 285,810 is: 448,311.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,211 : 285,810 = 285,810 : x
  2. Step 2: Convert to fraction form
    182,211/285,810 = 285,810/x
  3. Step 3: Cross multiply
    182,211x = 285,810 × 285,810
  4. Step 4: Simplify right side
    182,211x = 81,687,356,100
  5. Step 5: Solve for x
    x = 81,687,356,100/182,211
  6. Step 6: Final answer
    x = 448,311.88

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.