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Finding the Third Proportional to 171,031.50 and 395,894.25

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Solution

The third proportional to 171,031.50 and 395,894.25 is: 916,394.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,031.50 : 395,894.25 = 395,894.25 : x
  2. Step 2: Convert to fraction form
    171,031.50/395,894.25 = 395,894.25/x
  3. Step 3: Cross multiply
    171,031.50x = 395,894.25 × 395,894.25
  4. Step 4: Simplify right side
    171,031.50x = 156,732,257,183.06
  5. Step 5: Solve for x
    x = 156,732,257,183.06/171,031.50
  6. Step 6: Final answer
    x = 916,394.10

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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.