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Finding the Third Proportional to 171,023 and 395,902

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Solution

The third proportional to 171,023 and 395,902 is: 916,475.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,023 : 395,902 = 395,902 : x
  2. Step 2: Convert to fraction form
    171,023/395,902 = 395,902/x
  3. Step 3: Cross multiply
    171,023x = 395,902 × 395,902
  4. Step 4: Simplify right side
    171,023x = 156,738,393,604
  5. Step 5: Solve for x
    x = 156,738,393,604/171,023
  6. Step 6: Final answer
    x = 916,475.52

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.