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Finding the Third Proportional to 169,904 and 369,344

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Solution

The third proportional to 169,904 and 369,344 is: 802,894.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,904 : 369,344 = 369,344 : x
  2. Step 2: Convert to fraction form
    169,904/369,344 = 369,344/x
  3. Step 3: Cross multiply
    169,904x = 369,344 × 369,344
  4. Step 4: Simplify right side
    169,904x = 136,414,990,336
  5. Step 5: Solve for x
    x = 136,414,990,336/169,904
  6. Step 6: Final answer
    x = 802,894.52

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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.