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Finding the Third Proportional to 94,764 and 204,290

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Solution

The third proportional to 94,764 and 204,290 is: 440,403.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,764 : 204,290 = 204,290 : x
  2. Step 2: Convert to fraction form
    94,764/204,290 = 204,290/x
  3. Step 3: Cross multiply
    94,764x = 204,290 × 204,290
  4. Step 4: Simplify right side
    94,764x = 41,734,404,100
  5. Step 5: Solve for x
    x = 41,734,404,100/94,764
  6. Step 6: Final answer
    x = 440,403.57

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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.