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Finding the Third Proportional to 171,714 and 368,820

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Solution

The third proportional to 171,714 and 368,820 is: 792,178.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,714 : 368,820 = 368,820 : x
  2. Step 2: Convert to fraction form
    171,714/368,820 = 368,820/x
  3. Step 3: Cross multiply
    171,714x = 368,820 × 368,820
  4. Step 4: Simplify right side
    171,714x = 136,028,192,400
  5. Step 5: Solve for x
    x = 136,028,192,400/171,714
  6. Step 6: Final answer
    x = 792,178.81

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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.