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Finding the Third Proportional to 191,616 and 395,533

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Solution

The third proportional to 191,616 and 395,533 is: 816,457.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,616 : 395,533 = 395,533 : x
  2. Step 2: Convert to fraction form
    191,616/395,533 = 395,533/x
  3. Step 3: Cross multiply
    191,616x = 395,533 × 395,533
  4. Step 4: Simplify right side
    191,616x = 156,446,354,089
  5. Step 5: Solve for x
    x = 156,446,354,089/191,616
  6. Step 6: Final answer
    x = 816,457.68

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.