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Finding the Third Proportional to 138,194 and 298,444

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Solution

The third proportional to 138,194 and 298,444 is: 644,520.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,194 : 298,444 = 298,444 : x
  2. Step 2: Convert to fraction form
    138,194/298,444 = 298,444/x
  3. Step 3: Cross multiply
    138,194x = 298,444 × 298,444
  4. Step 4: Simplify right side
    138,194x = 89,068,821,136
  5. Step 5: Solve for x
    x = 89,068,821,136/138,194
  6. Step 6: Final answer
    x = 644,520.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.