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Finding the Third Proportional to 202,986 and 436,212

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Solution

The third proportional to 202,986 and 436,212 is: 937,409.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,986 : 436,212 = 436,212 : x
  2. Step 2: Convert to fraction form
    202,986/436,212 = 436,212/x
  3. Step 3: Cross multiply
    202,986x = 436,212 × 436,212
  4. Step 4: Simplify right side
    202,986x = 190,280,908,944
  5. Step 5: Solve for x
    x = 190,280,908,944/202,986
  6. Step 6: Final answer
    x = 937,409.03

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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.