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Finding the Third Proportional to 202,546 and 436,255

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Solution

The third proportional to 202,546 and 436,255 is: 939,630.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,546 : 436,255 = 436,255 : x
  2. Step 2: Convert to fraction form
    202,546/436,255 = 436,255/x
  3. Step 3: Cross multiply
    202,546x = 436,255 × 436,255
  4. Step 4: Simplify right side
    202,546x = 190,318,425,025
  5. Step 5: Solve for x
    x = 190,318,425,025/202,546
  6. Step 6: Final answer
    x = 939,630.63

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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.