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Finding the Third Proportional to 121,247.44 and 264,209.63

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Solution

The third proportional to 121,247.44 and 264,209.63 is: 575,737.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,247.44 : 264,209.63 = 264,209.63 : x
  2. Step 2: Convert to fraction form
    121,247.44/264,209.63 = 264,209.63/x
  3. Step 3: Cross multiply
    121,247.44x = 264,209.63 × 264,209.63
  4. Step 4: Simplify right side
    121,247.44x = 69,806,725,942.64
  5. Step 5: Solve for x
    x = 69,806,725,942.64/121,247.44
  6. Step 6: Final answer
    x = 575,737.74

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