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Finding the Third Proportional to 191,642 and 395,578

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Solution

The third proportional to 191,642 and 395,578 is: 816,532.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,642 : 395,578 = 395,578 : x
  2. Step 2: Convert to fraction form
    191,642/395,578 = 395,578/x
  3. Step 3: Cross multiply
    191,642x = 395,578 × 395,578
  4. Step 4: Simplify right side
    191,642x = 156,481,954,084
  5. Step 5: Solve for x
    x = 156,481,954,084/191,642
  6. Step 6: Final answer
    x = 816,532.67

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.