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Finding the Third Proportional to 122,997 and 264,870

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Solution

The third proportional to 122,997 and 264,870 is: 570,388.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,997 : 264,870 = 264,870 : x
  2. Step 2: Convert to fraction form
    122,997/264,870 = 264,870/x
  3. Step 3: Cross multiply
    122,997x = 264,870 × 264,870
  4. Step 4: Simplify right side
    122,997x = 70,156,116,900
  5. Step 5: Solve for x
    x = 70,156,116,900/122,997
  6. Step 6: Final answer
    x = 570,388.85

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.