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Finding the Third Proportional to 264,552.75 and 378,163.69

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Solution

The third proportional to 264,552.75 and 378,163.69 is: 540,564.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,552.75 : 378,163.69 = 378,163.69 : x
  2. Step 2: Convert to fraction form
    264,552.75/378,163.69 = 378,163.69/x
  3. Step 3: Cross multiply
    264,552.75x = 378,163.69 × 378,163.69
  4. Step 4: Simplify right side
    264,552.75x = 143,007,774,543.60
  5. Step 5: Solve for x
    x = 143,007,774,543.60/264,552.75
  6. Step 6: Final answer
    x = 540,564.31

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.