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Finding the Third Proportional to 190,800 and 293,400

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Solution

The third proportional to 190,800 and 293,400 is: 451,171.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,800 : 293,400 = 293,400 : x
  2. Step 2: Convert to fraction form
    190,800/293,400 = 293,400/x
  3. Step 3: Cross multiply
    190,800x = 293,400 × 293,400
  4. Step 4: Simplify right side
    190,800x = 86,083,560,000
  5. Step 5: Solve for x
    x = 86,083,560,000/190,800
  6. Step 6: Final answer
    x = 451,171.70

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.