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Finding the Third Proportional to 214,586 and 315,308

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Solution

The third proportional to 214,586 and 315,308 is: 463,306.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,586 : 315,308 = 315,308 : x
  2. Step 2: Convert to fraction form
    214,586/315,308 = 315,308/x
  3. Step 3: Cross multiply
    214,586x = 315,308 × 315,308
  4. Step 4: Simplify right side
    214,586x = 99,419,134,864
  5. Step 5: Solve for x
    x = 99,419,134,864/214,586
  6. Step 6: Final answer
    x = 463,306.72

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.