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Finding the Third Proportional to 94,884 and 204,430

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Solution

The third proportional to 94,884 and 204,430 is: 440,449.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,884 : 204,430 = 204,430 : x
  2. Step 2: Convert to fraction form
    94,884/204,430 = 204,430/x
  3. Step 3: Cross multiply
    94,884x = 204,430 × 204,430
  4. Step 4: Simplify right side
    94,884x = 41,791,624,900
  5. Step 5: Solve for x
    x = 41,791,624,900/94,884
  6. Step 6: Final answer
    x = 440,449.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.