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Finding the Third Proportional to 214,400 and 315,176

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Solution

The third proportional to 214,400 and 315,176 is: 463,320.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,400 : 315,176 = 315,176 : x
  2. Step 2: Convert to fraction form
    214,400/315,176 = 315,176/x
  3. Step 3: Cross multiply
    214,400x = 315,176 × 315,176
  4. Step 4: Simplify right side
    214,400x = 99,335,910,976
  5. Step 5: Solve for x
    x = 99,335,910,976/214,400
  6. Step 6: Final answer
    x = 463,320.48

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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.