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Finding the Third Proportional to 94,781 and 200,434

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Solution

The third proportional to 94,781 and 200,434 is: 423,859.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,781 : 200,434 = 200,434 : x
  2. Step 2: Convert to fraction form
    94,781/200,434 = 200,434/x
  3. Step 3: Cross multiply
    94,781x = 200,434 × 200,434
  4. Step 4: Simplify right side
    94,781x = 40,173,788,356
  5. Step 5: Solve for x
    x = 40,173,788,356/94,781
  6. Step 6: Final answer
    x = 423,859.09

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.