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Finding the Third Proportional to 170,904 and 368,106

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Solution

The third proportional to 170,904 and 368,106 is: 792,854.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,904 : 368,106 = 368,106 : x
  2. Step 2: Convert to fraction form
    170,904/368,106 = 368,106/x
  3. Step 3: Cross multiply
    170,904x = 368,106 × 368,106
  4. Step 4: Simplify right side
    170,904x = 135,502,027,236
  5. Step 5: Solve for x
    x = 135,502,027,236/170,904
  6. Step 6: Final answer
    x = 792,854.63

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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.