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Finding the Third Proportional to 193,108 and 415,592

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Solution

The third proportional to 193,108 and 415,592 is: 894,404.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,108 : 415,592 = 415,592 : x
  2. Step 2: Convert to fraction form
    193,108/415,592 = 415,592/x
  3. Step 3: Cross multiply
    193,108x = 415,592 × 415,592
  4. Step 4: Simplify right side
    193,108x = 172,716,710,464
  5. Step 5: Solve for x
    x = 172,716,710,464/193,108
  6. Step 6: Final answer
    x = 894,404.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.