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Finding the Third Proportional to 241,342 and 361,546

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Solution

The third proportional to 241,342 and 361,546 is: 541,619.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,342 : 361,546 = 361,546 : x
  2. Step 2: Convert to fraction form
    241,342/361,546 = 361,546/x
  3. Step 3: Cross multiply
    241,342x = 361,546 × 361,546
  4. Step 4: Simplify right side
    241,342x = 130,715,510,116
  5. Step 5: Solve for x
    x = 130,715,510,116/241,342
  6. Step 6: Final answer
    x = 541,619.40

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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.