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Finding the Third Proportional to 158,216 and 347,344

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Solution

The third proportional to 158,216 and 347,344 is: 762,551.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,216 : 347,344 = 347,344 : x
  2. Step 2: Convert to fraction form
    158,216/347,344 = 347,344/x
  3. Step 3: Cross multiply
    158,216x = 347,344 × 347,344
  4. Step 4: Simplify right side
    158,216x = 120,647,854,336
  5. Step 5: Solve for x
    x = 120,647,854,336/158,216
  6. Step 6: Final answer
    x = 762,551.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.