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Finding the Third Proportional to 215,320 and 308,218

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Solution

The third proportional to 215,320 and 308,218 is: 441,196.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,320 : 308,218 = 308,218 : x
  2. Step 2: Convert to fraction form
    215,320/308,218 = 308,218/x
  3. Step 3: Cross multiply
    215,320x = 308,218 × 308,218
  4. Step 4: Simplify right side
    215,320x = 94,998,335,524
  5. Step 5: Solve for x
    x = 94,998,335,524/215,320
  6. Step 6: Final answer
    x = 441,196.06

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.