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Finding the Third Proportional to 236,218 and 353,675

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Solution

The third proportional to 236,218 and 353,675 is: 529,536.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,218 : 353,675 = 353,675 : x
  2. Step 2: Convert to fraction form
    236,218/353,675 = 353,675/x
  3. Step 3: Cross multiply
    236,218x = 353,675 × 353,675
  4. Step 4: Simplify right side
    236,218x = 125,086,005,625
  5. Step 5: Solve for x
    x = 125,086,005,625/236,218
  6. Step 6: Final answer
    x = 529,536.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.