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Finding the Third Proportional to 215,296 and 308,176

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Solution

The third proportional to 215,296 and 308,176 is: 441,125.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,296 : 308,176 = 308,176 : x
  2. Step 2: Convert to fraction form
    215,296/308,176 = 308,176/x
  3. Step 3: Cross multiply
    215,296x = 308,176 × 308,176
  4. Step 4: Simplify right side
    215,296x = 94,972,446,976
  5. Step 5: Solve for x
    x = 94,972,446,976/215,296
  6. Step 6: Final answer
    x = 441,125.00

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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.