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Finding the Third Proportional to 205,344 and 426,816

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Solution

The third proportional to 205,344 and 426,816 is: 887,154.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,344 : 426,816 = 426,816 : x
  2. Step 2: Convert to fraction form
    205,344/426,816 = 426,816/x
  3. Step 3: Cross multiply
    205,344x = 426,816 × 426,816
  4. Step 4: Simplify right side
    205,344x = 182,171,897,856
  5. Step 5: Solve for x
    x = 182,171,897,856/205,344
  6. Step 6: Final answer
    x = 887,154.72

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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.