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Finding the Third Proportional to 122,796.42 and 264,267.14

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Solution

The third proportional to 122,796.42 and 264,267.14 is: 568,722.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,796.42 : 264,267.14 = 264,267.14 : x
  2. Step 2: Convert to fraction form
    122,796.42/264,267.14 = 264,267.14/x
  3. Step 3: Cross multiply
    122,796.42x = 264,267.14 × 264,267.14
  4. Step 4: Simplify right side
    122,796.42x = 69,837,121,614.11
  5. Step 5: Solve for x
    x = 69,837,121,614.11/122,796.42
  6. Step 6: Final answer
    x = 568,722.77

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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.