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Finding the Third Proportional to 185,757 and 407,112

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Solution

The third proportional to 185,757 and 407,112 is: 892,241.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,757 : 407,112 = 407,112 : x
  2. Step 2: Convert to fraction form
    185,757/407,112 = 407,112/x
  3. Step 3: Cross multiply
    185,757x = 407,112 × 407,112
  4. Step 4: Simplify right side
    185,757x = 165,740,180,544
  5. Step 5: Solve for x
    x = 165,740,180,544/185,757
  6. Step 6: Final answer
    x = 892,241.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.