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Finding the Third Proportional to 122,116.50 and 264,825

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Solution

The third proportional to 122,116.50 and 264,825 is: 574,306.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,116.50 : 264,825 = 264,825 : x
  2. Step 2: Convert to fraction form
    122,116.50/264,825 = 264,825/x
  3. Step 3: Cross multiply
    122,116.50x = 264,825 × 264,825
  4. Step 4: Simplify right side
    122,116.50x = 70,132,280,625
  5. Step 5: Solve for x
    x = 70,132,280,625/122,116.50
  6. Step 6: Final answer
    x = 574,306.34

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