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Finding the Third Proportional to 205,272 and 426,870

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Solution

The third proportional to 205,272 and 426,870 is: 887,690.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,272 : 426,870 = 426,870 : x
  2. Step 2: Convert to fraction form
    205,272/426,870 = 426,870/x
  3. Step 3: Cross multiply
    205,272x = 426,870 × 426,870
  4. Step 4: Simplify right side
    205,272x = 182,217,996,900
  5. Step 5: Solve for x
    x = 182,217,996,900/205,272
  6. Step 6: Final answer
    x = 887,690.46

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.