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Finding the Third Proportional to 121,249.50 and 264,525

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Solution

The third proportional to 121,249.50 and 264,525 is: 577,103.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,249.50 : 264,525 = 264,525 : x
  2. Step 2: Convert to fraction form
    121,249.50/264,525 = 264,525/x
  3. Step 3: Cross multiply
    121,249.50x = 264,525 × 264,525
  4. Step 4: Simplify right side
    121,249.50x = 69,973,475,625
  5. Step 5: Solve for x
    x = 69,973,475,625/121,249.50
  6. Step 6: Final answer
    x = 577,103.21

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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.