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Finding the Third Proportional to 161,904 and 343,539

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Solution

The third proportional to 161,904 and 343,539 is: 728,944.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,904 : 343,539 = 343,539 : x
  2. Step 2: Convert to fraction form
    161,904/343,539 = 343,539/x
  3. Step 3: Cross multiply
    161,904x = 343,539 × 343,539
  4. Step 4: Simplify right side
    161,904x = 118,019,044,521
  5. Step 5: Solve for x
    x = 118,019,044,521/161,904
  6. Step 6: Final answer
    x = 728,944.59

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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.