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Finding the Third Proportional to 203,184 and 436,608

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Solution

The third proportional to 203,184 and 436,608 is: 938,196.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,184 : 436,608 = 436,608 : x
  2. Step 2: Convert to fraction form
    203,184/436,608 = 436,608/x
  3. Step 3: Cross multiply
    203,184x = 436,608 × 436,608
  4. Step 4: Simplify right side
    203,184x = 190,626,545,664
  5. Step 5: Solve for x
    x = 190,626,545,664/203,184
  6. Step 6: Final answer
    x = 938,196.64

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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.