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Finding the Third Proportional to 196,859 and 291,137

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Solution

The third proportional to 196,859 and 291,137 is: 430,565.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,859 : 291,137 = 291,137 : x
  2. Step 2: Convert to fraction form
    196,859/291,137 = 291,137/x
  3. Step 3: Cross multiply
    196,859x = 291,137 × 291,137
  4. Step 4: Simplify right side
    196,859x = 84,760,752,769
  5. Step 5: Solve for x
    x = 84,760,752,769/196,859
  6. Step 6: Final answer
    x = 430,565.80

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.