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Finding the Third Proportional to 241,827 and 381,291

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Solution

The third proportional to 241,827 and 381,291 is: 601,185.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,827 : 381,291 = 381,291 : x
  2. Step 2: Convert to fraction form
    241,827/381,291 = 381,291/x
  3. Step 3: Cross multiply
    241,827x = 381,291 × 381,291
  4. Step 4: Simplify right side
    241,827x = 145,382,826,681
  5. Step 5: Solve for x
    x = 145,382,826,681/241,827
  6. Step 6: Final answer
    x = 601,185.26

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.