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Finding the Third Proportional to 94,850 and 203,524

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Solution

The third proportional to 94,850 and 203,524 is: 436,710.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,850 : 203,524 = 203,524 : x
  2. Step 2: Convert to fraction form
    94,850/203,524 = 203,524/x
  3. Step 3: Cross multiply
    94,850x = 203,524 × 203,524
  4. Step 4: Simplify right side
    94,850x = 41,422,018,576
  5. Step 5: Solve for x
    x = 41,422,018,576/94,850
  6. Step 6: Final answer
    x = 436,710.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.