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Finding the Third Proportional to 163,646 and 250,227

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Solution

The third proportional to 163,646 and 250,227 is: 382,615.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,646 : 250,227 = 250,227 : x
  2. Step 2: Convert to fraction form
    163,646/250,227 = 250,227/x
  3. Step 3: Cross multiply
    163,646x = 250,227 × 250,227
  4. Step 4: Simplify right side
    163,646x = 62,613,551,529
  5. Step 5: Solve for x
    x = 62,613,551,529/163,646
  6. Step 6: Final answer
    x = 382,615.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.