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Finding the Third Proportional to 215,760 and 440,088

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Solution

The third proportional to 215,760 and 440,088 is: 897,652.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,760 : 440,088 = 440,088 : x
  2. Step 2: Convert to fraction form
    215,760/440,088 = 440,088/x
  3. Step 3: Cross multiply
    215,760x = 440,088 × 440,088
  4. Step 4: Simplify right side
    215,760x = 193,677,447,744
  5. Step 5: Solve for x
    x = 193,677,447,744/215,760
  6. Step 6: Final answer
    x = 897,652.24

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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.