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Finding the Third Proportional to 241,504 and 345,022

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Solution

The third proportional to 241,504 and 345,022 is: 492,911.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,504 : 345,022 = 345,022 : x
  2. Step 2: Convert to fraction form
    241,504/345,022 = 345,022/x
  3. Step 3: Cross multiply
    241,504x = 345,022 × 345,022
  4. Step 4: Simplify right side
    241,504x = 119,040,180,484
  5. Step 5: Solve for x
    x = 119,040,180,484/241,504
  6. Step 6: Final answer
    x = 492,911.84

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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.