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Finding the Third Proportional to 205,913 and 451,192

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Solution

The third proportional to 205,913 and 451,192 is: 988,641.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,913 : 451,192 = 451,192 : x
  2. Step 2: Convert to fraction form
    205,913/451,192 = 451,192/x
  3. Step 3: Cross multiply
    205,913x = 451,192 × 451,192
  4. Step 4: Simplify right side
    205,913x = 203,574,220,864
  5. Step 5: Solve for x
    x = 203,574,220,864/205,913
  6. Step 6: Final answer
    x = 988,641.91

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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.