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Finding the Third Proportional to 169,008 and 365,904

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Solution

The third proportional to 169,008 and 365,904 is: 792,185.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,008 : 365,904 = 365,904 : x
  2. Step 2: Convert to fraction form
    169,008/365,904 = 365,904/x
  3. Step 3: Cross multiply
    169,008x = 365,904 × 365,904
  4. Step 4: Simplify right side
    169,008x = 133,885,737,216
  5. Step 5: Solve for x
    x = 133,885,737,216/169,008
  6. Step 6: Final answer
    x = 792,185.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.