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Finding the Third Proportional to 121,533.75 and 264,861.56

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Solution

The third proportional to 121,533.75 and 264,861.56 is: 577,219.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,533.75 : 264,861.56 = 264,861.56 : x
  2. Step 2: Convert to fraction form
    121,533.75/264,861.56 = 264,861.56/x
  3. Step 3: Cross multiply
    121,533.75x = 264,861.56 × 264,861.56
  4. Step 4: Simplify right side
    121,533.75x = 70,151,647,289.94
  5. Step 5: Solve for x
    x = 70,151,647,289.94/121,533.75
  6. Step 6: Final answer
    x = 577,219.47

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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.