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Finding the Third Proportional to 161,840 and 251,296

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Solution

The third proportional to 161,840 and 251,296 is: 390,198.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,840 : 251,296 = 251,296 : x
  2. Step 2: Convert to fraction form
    161,840/251,296 = 251,296/x
  3. Step 3: Cross multiply
    161,840x = 251,296 × 251,296
  4. Step 4: Simplify right side
    161,840x = 63,149,679,616
  5. Step 5: Solve for x
    x = 63,149,679,616/161,840
  6. Step 6: Final answer
    x = 390,198.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.