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Finding the Third Proportional to 188,108 and 402,100

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Solution

The third proportional to 188,108 and 402,100 is: 859,529.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,108 : 402,100 = 402,100 : x
  2. Step 2: Convert to fraction form
    188,108/402,100 = 402,100/x
  3. Step 3: Cross multiply
    188,108x = 402,100 × 402,100
  4. Step 4: Simplify right side
    188,108x = 161,684,410,000
  5. Step 5: Solve for x
    x = 161,684,410,000/188,108
  6. Step 6: Final answer
    x = 859,529.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.