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Finding the Third Proportional to 191,742 and 416,616

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Solution

The third proportional to 191,742 and 416,616 is: 905,221.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,742 : 416,616 = 416,616 : x
  2. Step 2: Convert to fraction form
    191,742/416,616 = 416,616/x
  3. Step 3: Cross multiply
    191,742x = 416,616 × 416,616
  4. Step 4: Simplify right side
    191,742x = 173,568,891,456
  5. Step 5: Solve for x
    x = 173,568,891,456/191,742
  6. Step 6: Final answer
    x = 905,221.03

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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.