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Finding the Third Proportional to 169,910 and 369,356

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Solution

The third proportional to 169,910 and 369,356 is: 802,918.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,910 : 369,356 = 369,356 : x
  2. Step 2: Convert to fraction form
    169,910/369,356 = 369,356/x
  3. Step 3: Cross multiply
    169,910x = 369,356 × 369,356
  4. Step 4: Simplify right side
    169,910x = 136,423,854,736
  5. Step 5: Solve for x
    x = 136,423,854,736/169,910
  6. Step 6: Final answer
    x = 802,918.34

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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.