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Finding the Third Proportional to 121,216.50 and 264,463.50

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Solution

The third proportional to 121,216.50 and 264,463.50 is: 576,991.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,216.50 : 264,463.50 = 264,463.50 : x
  2. Step 2: Convert to fraction form
    121,216.50/264,463.50 = 264,463.50/x
  3. Step 3: Cross multiply
    121,216.50x = 264,463.50 × 264,463.50
  4. Step 4: Simplify right side
    121,216.50x = 69,940,942,832.25
  5. Step 5: Solve for x
    x = 69,940,942,832.25/121,216.50
  6. Step 6: Final answer
    x = 576,991.93

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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.