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Finding the Third Proportional to 215,325 and 308,232

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Solution

The third proportional to 215,325 and 308,232 is: 441,225.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,325 : 308,232 = 308,232 : x
  2. Step 2: Convert to fraction form
    215,325/308,232 = 308,232/x
  3. Step 3: Cross multiply
    215,325x = 308,232 × 308,232
  4. Step 4: Simplify right side
    215,325x = 95,006,965,824
  5. Step 5: Solve for x
    x = 95,006,965,824/215,325
  6. Step 6: Final answer
    x = 441,225.89

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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.