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Finding the Third Proportional to 241,900 and 381,402

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Solution

The third proportional to 241,900 and 381,402 is: 601,353.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,900 : 381,402 = 381,402 : x
  2. Step 2: Convert to fraction form
    241,900/381,402 = 381,402/x
  3. Step 3: Cross multiply
    241,900x = 381,402 × 381,402
  4. Step 4: Simplify right side
    241,900x = 145,467,485,604
  5. Step 5: Solve for x
    x = 145,467,485,604/241,900
  6. Step 6: Final answer
    x = 601,353.81

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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.