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Finding the Third Proportional to 197,132 and 301,611

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Solution

The third proportional to 197,132 and 301,611 is: 461,463.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,132 : 301,611 = 301,611 : x
  2. Step 2: Convert to fraction form
    197,132/301,611 = 301,611/x
  3. Step 3: Cross multiply
    197,132x = 301,611 × 301,611
  4. Step 4: Simplify right side
    197,132x = 90,969,195,321
  5. Step 5: Solve for x
    x = 90,969,195,321/197,132
  6. Step 6: Final answer
    x = 461,463.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.