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Finding the Third Proportional to 214,392 and 315,165

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Solution

The third proportional to 214,392 and 315,165 is: 463,305.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,392 : 315,165 = 315,165 : x
  2. Step 2: Convert to fraction form
    214,392/315,165 = 315,165/x
  3. Step 3: Cross multiply
    214,392x = 315,165 × 315,165
  4. Step 4: Simplify right side
    214,392x = 99,328,977,225
  5. Step 5: Solve for x
    x = 99,328,977,225/214,392
  6. Step 6: Final answer
    x = 463,305.43

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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.