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Finding the Third Proportional to 94,772 and 204,306

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Solution

The third proportional to 94,772 and 204,306 is: 440,435.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,772 : 204,306 = 204,306 : x
  2. Step 2: Convert to fraction form
    94,772/204,306 = 204,306/x
  3. Step 3: Cross multiply
    94,772x = 204,306 × 204,306
  4. Step 4: Simplify right side
    94,772x = 41,740,941,636
  5. Step 5: Solve for x
    x = 41,740,941,636/94,772
  6. Step 6: Final answer
    x = 440,435.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.