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Finding the Third Proportional to 94,417 and 205,434

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Solution

The third proportional to 94,417 and 205,434 is: 446,986.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,417 : 205,434 = 205,434 : x
  2. Step 2: Convert to fraction form
    94,417/205,434 = 205,434/x
  3. Step 3: Cross multiply
    94,417x = 205,434 × 205,434
  4. Step 4: Simplify right side
    94,417x = 42,203,128,356
  5. Step 5: Solve for x
    x = 42,203,128,356/94,417
  6. Step 6: Final answer
    x = 446,986.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.