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Finding the Third Proportional to 170,784 and 371,099

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Solution

The third proportional to 170,784 and 371,099 is: 806,366.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,784 : 371,099 = 371,099 : x
  2. Step 2: Convert to fraction form
    170,784/371,099 = 371,099/x
  3. Step 3: Cross multiply
    170,784x = 371,099 × 371,099
  4. Step 4: Simplify right side
    170,784x = 137,714,467,801
  5. Step 5: Solve for x
    x = 137,714,467,801/170,784
  6. Step 6: Final answer
    x = 806,366.33

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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.