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Finding the Third Proportional to 191,676 and 416,508

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Solution

The third proportional to 191,676 and 416,508 is: 905,063.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,676 : 416,508 = 416,508 : x
  2. Step 2: Convert to fraction form
    191,676/416,508 = 416,508/x
  3. Step 3: Cross multiply
    191,676x = 416,508 × 416,508
  4. Step 4: Simplify right side
    191,676x = 173,478,914,064
  5. Step 5: Solve for x
    x = 173,478,914,064/191,676
  6. Step 6: Final answer
    x = 905,063.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.