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Finding the Third Proportional to 241,940 and 363,152

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Solution

The third proportional to 241,940 and 363,152 is: 545,091.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,940 : 363,152 = 363,152 : x
  2. Step 2: Convert to fraction form
    241,940/363,152 = 363,152/x
  3. Step 3: Cross multiply
    241,940x = 363,152 × 363,152
  4. Step 4: Simplify right side
    241,940x = 131,879,375,104
  5. Step 5: Solve for x
    x = 131,879,375,104/241,940
  6. Step 6: Final answer
    x = 545,091.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.