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Finding the Third Proportional to 136,446 and 279,648

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Solution

The third proportional to 136,446 and 279,648 is: 573,142.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,446 : 279,648 = 279,648 : x
  2. Step 2: Convert to fraction form
    136,446/279,648 = 279,648/x
  3. Step 3: Cross multiply
    136,446x = 279,648 × 279,648
  4. Step 4: Simplify right side
    136,446x = 78,203,003,904
  5. Step 5: Solve for x
    x = 78,203,003,904/136,446
  6. Step 6: Final answer
    x = 573,142.52

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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.