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Finding the Third Proportional to 94,286 and 205,168

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Solution

The third proportional to 94,286 and 205,168 is: 446,449.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,286 : 205,168 = 205,168 : x
  2. Step 2: Convert to fraction form
    94,286/205,168 = 205,168/x
  3. Step 3: Cross multiply
    94,286x = 205,168 × 205,168
  4. Step 4: Simplify right side
    94,286x = 42,093,908,224
  5. Step 5: Solve for x
    x = 42,093,908,224/94,286
  6. Step 6: Final answer
    x = 446,449.19

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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.