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Finding the Third Proportional to 94,325 and 204,729

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Solution

The third proportional to 94,325 and 204,729 is: 444,356.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,325 : 204,729 = 204,729 : x
  2. Step 2: Convert to fraction form
    94,325/204,729 = 204,729/x
  3. Step 3: Cross multiply
    94,325x = 204,729 × 204,729
  4. Step 4: Simplify right side
    94,325x = 41,913,963,441
  5. Step 5: Solve for x
    x = 41,913,963,441/94,325
  6. Step 6: Final answer
    x = 444,356.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.