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Finding the Third Proportional to 162,434 and 246,819

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Solution

The third proportional to 162,434 and 246,819 is: 375,042.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,434 : 246,819 = 246,819 : x
  2. Step 2: Convert to fraction form
    162,434/246,819 = 246,819/x
  3. Step 3: Cross multiply
    162,434x = 246,819 × 246,819
  4. Step 4: Simplify right side
    162,434x = 60,919,618,761
  5. Step 5: Solve for x
    x = 60,919,618,761/162,434
  6. Step 6: Final answer
    x = 375,042.29

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.