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Finding the Third Proportional to 241,896 and 381,396

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Solution

The third proportional to 241,896 and 381,396 is: 601,344.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,896 : 381,396 = 381,396 : x
  2. Step 2: Convert to fraction form
    241,896/381,396 = 381,396/x
  3. Step 3: Cross multiply
    241,896x = 381,396 × 381,396
  4. Step 4: Simplify right side
    241,896x = 145,462,908,816
  5. Step 5: Solve for x
    x = 145,462,908,816/241,896
  6. Step 6: Final answer
    x = 601,344.83

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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.