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Finding the Third Proportional to 171,170.25 and 369,404.75

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Solution

The third proportional to 171,170.25 and 369,404.75 is: 797,217.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,170.25 : 369,404.75 = 369,404.75 : x
  2. Step 2: Convert to fraction form
    171,170.25/369,404.75 = 369,404.75/x
  3. Step 3: Cross multiply
    171,170.25x = 369,404.75 × 369,404.75
  4. Step 4: Simplify right side
    171,170.25x = 136,459,869,322.56
  5. Step 5: Solve for x
    x = 136,459,869,322.56/171,170.25
  6. Step 6: Final answer
    x = 797,217.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.