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Finding the Third Proportional to 136,441 and 279,644

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Solution

The third proportional to 136,441 and 279,644 is: 573,147.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,441 : 279,644 = 279,644 : x
  2. Step 2: Convert to fraction form
    136,441/279,644 = 279,644/x
  3. Step 3: Cross multiply
    136,441x = 279,644 × 279,644
  4. Step 4: Simplify right side
    136,441x = 78,200,766,736
  5. Step 5: Solve for x
    x = 78,200,766,736/136,441
  6. Step 6: Final answer
    x = 573,147.12

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.