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Finding the Third Proportional to 182,206 and 399,512

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Solution

The third proportional to 182,206 and 399,512 is: 875,985.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,206 : 399,512 = 399,512 : x
  2. Step 2: Convert to fraction form
    182,206/399,512 = 399,512/x
  3. Step 3: Cross multiply
    182,206x = 399,512 × 399,512
  4. Step 4: Simplify right side
    182,206x = 159,609,838,144
  5. Step 5: Solve for x
    x = 159,609,838,144/182,206
  6. Step 6: Final answer
    x = 875,985.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.