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Finding the Third Proportional to 133,416 and 202,874

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Solution

The third proportional to 133,416 and 202,874 is: 308,492.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,416 : 202,874 = 202,874 : x
  2. Step 2: Convert to fraction form
    133,416/202,874 = 202,874/x
  3. Step 3: Cross multiply
    133,416x = 202,874 × 202,874
  4. Step 4: Simplify right side
    133,416x = 41,157,859,876
  5. Step 5: Solve for x
    x = 41,157,859,876/133,416
  6. Step 6: Final answer
    x = 308,492.68

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.