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Finding the Third Proportional to 203,232 and 440,349

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Solution

The third proportional to 203,232 and 440,349 is: 954,117.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,232 : 440,349 = 440,349 : x
  2. Step 2: Convert to fraction form
    203,232/440,349 = 440,349/x
  3. Step 3: Cross multiply
    203,232x = 440,349 × 440,349
  4. Step 4: Simplify right side
    203,232x = 193,907,241,801
  5. Step 5: Solve for x
    x = 193,907,241,801/203,232
  6. Step 6: Final answer
    x = 954,117.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.