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Finding the Third Proportional to 202,234 and 440,141

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Solution

The third proportional to 202,234 and 440,141 is: 957,920.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,234 : 440,141 = 440,141 : x
  2. Step 2: Convert to fraction form
    202,234/440,141 = 440,141/x
  3. Step 3: Cross multiply
    202,234x = 440,141 × 440,141
  4. Step 4: Simplify right side
    202,234x = 193,724,099,881
  5. Step 5: Solve for x
    x = 193,724,099,881/202,234
  6. Step 6: Final answer
    x = 957,920.53

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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.