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Finding the Third Proportional to 196,857 and 291,132

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Solution

The third proportional to 196,857 and 291,132 is: 430,555.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,857 : 291,132 = 291,132 : x
  2. Step 2: Convert to fraction form
    196,857/291,132 = 291,132/x
  3. Step 3: Cross multiply
    196,857x = 291,132 × 291,132
  4. Step 4: Simplify right side
    196,857x = 84,757,841,424
  5. Step 5: Solve for x
    x = 84,757,841,424/196,857
  6. Step 6: Final answer
    x = 430,555.38

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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.