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Finding the Third Proportional to 188,000 and 283,944

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Solution

The third proportional to 188,000 and 283,944 is: 428,852.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,000 : 283,944 = 283,944 : x
  2. Step 2: Convert to fraction form
    188,000/283,944 = 283,944/x
  3. Step 3: Cross multiply
    188,000x = 283,944 × 283,944
  4. Step 4: Simplify right side
    188,000x = 80,624,195,136
  5. Step 5: Solve for x
    x = 80,624,195,136/188,000
  6. Step 6: Final answer
    x = 428,852.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.