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Finding the Third Proportional to 171,938.64 and 377,092.34

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Solution

The third proportional to 171,938.64 and 377,092.34 is: 827,031.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,938.64 : 377,092.34 = 377,092.34 : x
  2. Step 2: Convert to fraction form
    171,938.64/377,092.34 = 377,092.34/x
  3. Step 3: Cross multiply
    171,938.64x = 377,092.34 × 377,092.34
  4. Step 4: Simplify right side
    171,938.64x = 142,198,629,822.80
  5. Step 5: Solve for x
    x = 142,198,629,822.80/171,938.64
  6. Step 6: Final answer
    x = 827,031.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.