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Finding the Third Proportional to 121,708.83 and 264,846.27

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Solution

The third proportional to 121,708.83 and 264,846.27 is: 576,322.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,708.83 : 264,846.27 = 264,846.27 : x
  2. Step 2: Convert to fraction form
    121,708.83/264,846.27 = 264,846.27/x
  3. Step 3: Cross multiply
    121,708.83x = 264,846.27 × 264,846.27
  4. Step 4: Simplify right side
    121,708.83x = 70,143,546,484.62
  5. Step 5: Solve for x
    x = 70,143,546,484.62/121,708.83
  6. Step 6: Final answer
    x = 576,322.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.