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Finding the Third Proportional to 94,554 and 204,354

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Solution

The third proportional to 94,554 and 204,354 is: 441,658.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,554 : 204,354 = 204,354 : x
  2. Step 2: Convert to fraction form
    94,554/204,354 = 204,354/x
  3. Step 3: Cross multiply
    94,554x = 204,354 × 204,354
  4. Step 4: Simplify right side
    94,554x = 41,760,557,316
  5. Step 5: Solve for x
    x = 41,760,557,316/94,554
  6. Step 6: Final answer
    x = 441,658.28

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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.