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Finding the Third Proportional to 140,906 and 206,175

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Solution

The third proportional to 140,906 and 206,175 is: 301,677.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,906 : 206,175 = 206,175 : x
  2. Step 2: Convert to fraction form
    140,906/206,175 = 206,175/x
  3. Step 3: Cross multiply
    140,906x = 206,175 × 206,175
  4. Step 4: Simplify right side
    140,906x = 42,508,130,625
  5. Step 5: Solve for x
    x = 42,508,130,625/140,906
  6. Step 6: Final answer
    x = 301,677.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.