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Finding the Third Proportional to 191,089 and 397,863

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Solution

The third proportional to 191,089 and 397,863 is: 828,383.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,089 : 397,863 = 397,863 : x
  2. Step 2: Convert to fraction form
    191,089/397,863 = 397,863/x
  3. Step 3: Cross multiply
    191,089x = 397,863 × 397,863
  4. Step 4: Simplify right side
    191,089x = 158,294,966,769
  5. Step 5: Solve for x
    x = 158,294,966,769/191,089
  6. Step 6: Final answer
    x = 828,383.46

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.