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Finding the Third Proportional to 121,367.50 and 264,039

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Solution

The third proportional to 121,367.50 and 264,039 is: 574,425.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,367.50 : 264,039 = 264,039 : x
  2. Step 2: Convert to fraction form
    121,367.50/264,039 = 264,039/x
  3. Step 3: Cross multiply
    121,367.50x = 264,039 × 264,039
  4. Step 4: Simplify right side
    121,367.50x = 69,716,593,521
  5. Step 5: Solve for x
    x = 69,716,593,521/121,367.50
  6. Step 6: Final answer
    x = 574,425.55

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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.