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Finding the Third Proportional to 193,602 and 415,229

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Solution

The third proportional to 193,602 and 415,229 is: 890,564.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,602 : 415,229 = 415,229 : x
  2. Step 2: Convert to fraction form
    193,602/415,229 = 415,229/x
  3. Step 3: Cross multiply
    193,602x = 415,229 × 415,229
  4. Step 4: Simplify right side
    193,602x = 172,415,122,441
  5. Step 5: Solve for x
    x = 172,415,122,441/193,602
  6. Step 6: Final answer
    x = 890,564.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.