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Finding the Third Proportional to 190,450 and 301,314

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Solution

The third proportional to 190,450 and 301,314 is: 476,713.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,450 : 301,314 = 301,314 : x
  2. Step 2: Convert to fraction form
    190,450/301,314 = 301,314/x
  3. Step 3: Cross multiply
    190,450x = 301,314 × 301,314
  4. Step 4: Simplify right side
    190,450x = 90,790,126,596
  5. Step 5: Solve for x
    x = 90,790,126,596/190,450
  6. Step 6: Final answer
    x = 476,713.71

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.