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Finding the Third Proportional to 122,647.50 and 264,685.50

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Solution

The third proportional to 122,647.50 and 264,685.50 is: 571,217.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,647.50 : 264,685.50 = 264,685.50 : x
  2. Step 2: Convert to fraction form
    122,647.50/264,685.50 = 264,685.50/x
  3. Step 3: Cross multiply
    122,647.50x = 264,685.50 × 264,685.50
  4. Step 4: Simplify right side
    122,647.50x = 70,058,413,910.25
  5. Step 5: Solve for x
    x = 70,058,413,910.25/122,647.50
  6. Step 6: Final answer
    x = 571,217.63

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