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Finding the Third Proportional to 122,023.13 and 262,777.50

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Solution

The third proportional to 122,023.13 and 262,777.50 is: 565,892.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,023.13 : 262,777.50 = 262,777.50 : x
  2. Step 2: Convert to fraction form
    122,023.13/262,777.50 = 262,777.50/x
  3. Step 3: Cross multiply
    122,023.13x = 262,777.50 × 262,777.50
  4. Step 4: Simplify right side
    122,023.13x = 69,052,014,506.25
  5. Step 5: Solve for x
    x = 69,052,014,506.25/122,023.13
  6. Step 6: Final answer
    x = 565,892.85

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Why These Related Problems?

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