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Finding the Third Proportional to 214,938 and 467,190

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Solution

The third proportional to 214,938 and 467,190 is: 1,015,485.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,938 : 467,190 = 467,190 : x
  2. Step 2: Convert to fraction form
    214,938/467,190 = 467,190/x
  3. Step 3: Cross multiply
    214,938x = 467,190 × 467,190
  4. Step 4: Simplify right side
    214,938x = 218,266,496,100
  5. Step 5: Solve for x
    x = 218,266,496,100/214,938
  6. Step 6: Final answer
    x = 1,015,485.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.