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Finding the Third Proportional to 146,671 and 353,219

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Solution

The third proportional to 146,671 and 353,219 is: 850,636.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,671 : 353,219 = 353,219 : x
  2. Step 2: Convert to fraction form
    146,671/353,219 = 353,219/x
  3. Step 3: Cross multiply
    146,671x = 353,219 × 353,219
  4. Step 4: Simplify right side
    146,671x = 124,763,661,961
  5. Step 5: Solve for x
    x = 124,763,661,961/146,671
  6. Step 6: Final answer
    x = 850,636.20

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.