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Finding the Third Proportional to 94,885 and 205,354

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Solution

The third proportional to 94,885 and 205,354 is: 444,435.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,885 : 205,354 = 205,354 : x
  2. Step 2: Convert to fraction form
    94,885/205,354 = 205,354/x
  3. Step 3: Cross multiply
    94,885x = 205,354 × 205,354
  4. Step 4: Simplify right side
    94,885x = 42,170,265,316
  5. Step 5: Solve for x
    x = 42,170,265,316/94,885
  6. Step 6: Final answer
    x = 444,435.53

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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.