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Finding the Third Proportional to 214,944 and 327,152

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Solution

The third proportional to 214,944 and 327,152 is: 497,936.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,944 : 327,152 = 327,152 : x
  2. Step 2: Convert to fraction form
    214,944/327,152 = 327,152/x
  3. Step 3: Cross multiply
    214,944x = 327,152 × 327,152
  4. Step 4: Simplify right side
    214,944x = 107,028,431,104
  5. Step 5: Solve for x
    x = 107,028,431,104/214,944
  6. Step 6: Final answer
    x = 497,936.35

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.