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Finding the Third Proportional to 205,906 and 451,178

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Solution

The third proportional to 205,906 and 451,178 is: 988,614.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,906 : 451,178 = 451,178 : x
  2. Step 2: Convert to fraction form
    205,906/451,178 = 451,178/x
  3. Step 3: Cross multiply
    205,906x = 451,178 × 451,178
  4. Step 4: Simplify right side
    205,906x = 203,561,587,684
  5. Step 5: Solve for x
    x = 203,561,587,684/205,906
  6. Step 6: Final answer
    x = 988,614.16

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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.