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Finding the Third Proportional to 194,074 and 308,611

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Solution

The third proportional to 194,074 and 308,611 is: 490,744.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,074 : 308,611 = 308,611 : x
  2. Step 2: Convert to fraction form
    194,074/308,611 = 308,611/x
  3. Step 3: Cross multiply
    194,074x = 308,611 × 308,611
  4. Step 4: Simplify right side
    194,074x = 95,240,749,321
  5. Step 5: Solve for x
    x = 95,240,749,321/194,074
  6. Step 6: Final answer
    x = 490,744.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.