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Finding the Third Proportional to 241,898 and 381,399

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Solution

The third proportional to 241,898 and 381,399 is: 601,349.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,898 : 381,399 = 381,399 : x
  2. Step 2: Convert to fraction form
    241,898/381,399 = 381,399/x
  3. Step 3: Cross multiply
    241,898x = 381,399 × 381,399
  4. Step 4: Simplify right side
    241,898x = 145,465,197,201
  5. Step 5: Solve for x
    x = 145,465,197,201/241,898
  6. Step 6: Final answer
    x = 601,349.32

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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.