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Finding the Third Proportional to 170,896 and 368,087

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Solution

The third proportional to 170,896 and 368,087 is: 792,809.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,896 : 368,087 = 368,087 : x
  2. Step 2: Convert to fraction form
    170,896/368,087 = 368,087/x
  3. Step 3: Cross multiply
    170,896x = 368,087 × 368,087
  4. Step 4: Simplify right side
    170,896x = 135,488,039,569
  5. Step 5: Solve for x
    x = 135,488,039,569/170,896
  6. Step 6: Final answer
    x = 792,809.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.