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Finding the Third Proportional to 142,096 and 236,800

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Solution

The third proportional to 142,096 and 236,800 is: 394,622.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,096 : 236,800 = 236,800 : x
  2. Step 2: Convert to fraction form
    142,096/236,800 = 236,800/x
  3. Step 3: Cross multiply
    142,096x = 236,800 × 236,800
  4. Step 4: Simplify right side
    142,096x = 56,074,240,000
  5. Step 5: Solve for x
    x = 56,074,240,000/142,096
  6. Step 6: Final answer
    x = 394,622.23

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.