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Finding the Third Proportional to 120,194 and 261,124

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Solution

The third proportional to 120,194 and 261,124 is: 567,297.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,194 : 261,124 = 261,124 : x
  2. Step 2: Convert to fraction form
    120,194/261,124 = 261,124/x
  3. Step 3: Cross multiply
    120,194x = 261,124 × 261,124
  4. Step 4: Simplify right side
    120,194x = 68,185,743,376
  5. Step 5: Solve for x
    x = 68,185,743,376/120,194
  6. Step 6: Final answer
    x = 567,297.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.