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Finding the Third Proportional to 185,531 and 397,297

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Solution

The third proportional to 185,531 and 397,297 is: 850,773.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,531 : 397,297 = 397,297 : x
  2. Step 2: Convert to fraction form
    185,531/397,297 = 397,297/x
  3. Step 3: Cross multiply
    185,531x = 397,297 × 397,297
  4. Step 4: Simplify right side
    185,531x = 157,844,906,209
  5. Step 5: Solve for x
    x = 157,844,906,209/185,531
  6. Step 6: Final answer
    x = 850,773.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.