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Finding the Third Proportional to 168,348 and 369,906

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Solution

The third proportional to 168,348 and 369,906 is: 812,783.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,348 : 369,906 = 369,906 : x
  2. Step 2: Convert to fraction form
    168,348/369,906 = 369,906/x
  3. Step 3: Cross multiply
    168,348x = 369,906 × 369,906
  4. Step 4: Simplify right side
    168,348x = 136,830,448,836
  5. Step 5: Solve for x
    x = 136,830,448,836/168,348
  6. Step 6: Final answer
    x = 812,783.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.