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Finding the Third Proportional to 206,850 and 331,873

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Solution

The third proportional to 206,850 and 331,873 is: 532,461.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,850 : 331,873 = 331,873 : x
  2. Step 2: Convert to fraction form
    206,850/331,873 = 331,873/x
  3. Step 3: Cross multiply
    206,850x = 331,873 × 331,873
  4. Step 4: Simplify right side
    206,850x = 110,139,688,129
  5. Step 5: Solve for x
    x = 110,139,688,129/206,850
  6. Step 6: Final answer
    x = 532,461.63

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.