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Finding the Third Proportional to 241,817 and 381,275

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Solution

The third proportional to 241,817 and 381,275 is: 601,159.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,817 : 381,275 = 381,275 : x
  2. Step 2: Convert to fraction form
    241,817/381,275 = 381,275/x
  3. Step 3: Cross multiply
    241,817x = 381,275 × 381,275
  4. Step 4: Simplify right side
    241,817x = 145,370,625,625
  5. Step 5: Solve for x
    x = 145,370,625,625/241,817
  6. Step 6: Final answer
    x = 601,159.66

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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.