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Finding the Third Proportional to 161,462 and 329,494

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Solution

The third proportional to 161,462 and 329,494 is: 672,395.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,462 : 329,494 = 329,494 : x
  2. Step 2: Convert to fraction form
    161,462/329,494 = 329,494/x
  3. Step 3: Cross multiply
    161,462x = 329,494 × 329,494
  4. Step 4: Simplify right side
    161,462x = 108,566,296,036
  5. Step 5: Solve for x
    x = 108,566,296,036/161,462
  6. Step 6: Final answer
    x = 672,395.34

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.