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Finding the Third Proportional to 215,769 and 440,106

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Solution

The third proportional to 215,769 and 440,106 is: 897,688.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,769 : 440,106 = 440,106 : x
  2. Step 2: Convert to fraction form
    215,769/440,106 = 440,106/x
  3. Step 3: Cross multiply
    215,769x = 440,106 × 440,106
  4. Step 4: Simplify right side
    215,769x = 193,693,291,236
  5. Step 5: Solve for x
    x = 193,693,291,236/215,769
  6. Step 6: Final answer
    x = 897,688.23

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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.