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Finding the Third Proportional to 191,066 and 404,889

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Solution

The third proportional to 191,066 and 404,889 is: 858,002.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,066 : 404,889 = 404,889 : x
  2. Step 2: Convert to fraction form
    191,066/404,889 = 404,889/x
  3. Step 3: Cross multiply
    191,066x = 404,889 × 404,889
  4. Step 4: Simplify right side
    191,066x = 163,935,102,321
  5. Step 5: Solve for x
    x = 163,935,102,321/191,066
  6. Step 6: Final answer
    x = 858,002.48

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.