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Finding the Third Proportional to 172,167 and 374,829

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Solution

The third proportional to 172,167 and 374,829 is: 816,049.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,167 : 374,829 = 374,829 : x
  2. Step 2: Convert to fraction form
    172,167/374,829 = 374,829/x
  3. Step 3: Cross multiply
    172,167x = 374,829 × 374,829
  4. Step 4: Simplify right side
    172,167x = 140,496,779,241
  5. Step 5: Solve for x
    x = 140,496,779,241/172,167
  6. Step 6: Final answer
    x = 816,049.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.