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Finding the Third Proportional to 201,612 and 440,118

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Solution

The third proportional to 201,612 and 440,118 is: 960,775.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,612 : 440,118 = 440,118 : x
  2. Step 2: Convert to fraction form
    201,612/440,118 = 440,118/x
  3. Step 3: Cross multiply
    201,612x = 440,118 × 440,118
  4. Step 4: Simplify right side
    201,612x = 193,703,853,924
  5. Step 5: Solve for x
    x = 193,703,853,924/201,612
  6. Step 6: Final answer
    x = 960,775.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.