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Finding the Third Proportional to 171,126 and 364,419

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Solution

The third proportional to 171,126 and 364,419 is: 776,043.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,126 : 364,419 = 364,419 : x
  2. Step 2: Convert to fraction form
    171,126/364,419 = 364,419/x
  3. Step 3: Cross multiply
    171,126x = 364,419 × 364,419
  4. Step 4: Simplify right side
    171,126x = 132,801,207,561
  5. Step 5: Solve for x
    x = 132,801,207,561/171,126
  6. Step 6: Final answer
    x = 776,043.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.