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Finding the Third Proportional to 171,538 and 369,188

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Solution

The third proportional to 171,538 and 369,188 is: 794,574.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,538 : 369,188 = 369,188 : x
  2. Step 2: Convert to fraction form
    171,538/369,188 = 369,188/x
  3. Step 3: Cross multiply
    171,538x = 369,188 × 369,188
  4. Step 4: Simplify right side
    171,538x = 136,299,779,344
  5. Step 5: Solve for x
    x = 136,299,779,344/171,538
  6. Step 6: Final answer
    x = 794,574.84

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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.