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Finding the Third Proportional to 94,524 and 204,562

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Solution

The third proportional to 94,524 and 204,562 is: 442,698.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,524 : 204,562 = 204,562 : x
  2. Step 2: Convert to fraction form
    94,524/204,562 = 204,562/x
  3. Step 3: Cross multiply
    94,524x = 204,562 × 204,562
  4. Step 4: Simplify right side
    94,524x = 41,845,611,844
  5. Step 5: Solve for x
    x = 41,845,611,844/94,524
  6. Step 6: Final answer
    x = 442,698.28

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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.