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Finding the Third Proportional to 202,234 and 440,662

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Solution

The third proportional to 202,234 and 440,662 is: 960,189.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,234 : 440,662 = 440,662 : x
  2. Step 2: Convert to fraction form
    202,234/440,662 = 440,662/x
  3. Step 3: Cross multiply
    202,234x = 440,662 × 440,662
  4. Step 4: Simplify right side
    202,234x = 194,182,998,244
  5. Step 5: Solve for x
    x = 194,182,998,244/202,234
  6. Step 6: Final answer
    x = 960,189.67

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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.