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Finding the Third Proportional to 241,968 and 363,192

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Solution

The third proportional to 241,968 and 363,192 is: 545,148.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,968 : 363,192 = 363,192 : x
  2. Step 2: Convert to fraction form
    241,968/363,192 = 363,192/x
  3. Step 3: Cross multiply
    241,968x = 363,192 × 363,192
  4. Step 4: Simplify right side
    241,968x = 131,908,428,864
  5. Step 5: Solve for x
    x = 131,908,428,864/241,968
  6. Step 6: Final answer
    x = 545,148.24

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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.