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Finding the Third Proportional to 201,604 and 331,962

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Solution

The third proportional to 201,604 and 331,962 is: 546,610.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,604 : 331,962 = 331,962 : x
  2. Step 2: Convert to fraction form
    201,604/331,962 = 331,962/x
  3. Step 3: Cross multiply
    201,604x = 331,962 × 331,962
  4. Step 4: Simplify right side
    201,604x = 110,198,769,444
  5. Step 5: Solve for x
    x = 110,198,769,444/201,604
  6. Step 6: Final answer
    x = 546,610.03

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.