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Finding the Third Proportional to 215,773 and 440,114

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Solution

The third proportional to 215,773 and 440,114 is: 897,704.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,773 : 440,114 = 440,114 : x
  2. Step 2: Convert to fraction form
    215,773/440,114 = 440,114/x
  3. Step 3: Cross multiply
    215,773x = 440,114 × 440,114
  4. Step 4: Simplify right side
    215,773x = 193,700,332,996
  5. Step 5: Solve for x
    x = 193,700,332,996/215,773
  6. Step 6: Final answer
    x = 897,704.22

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.