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Finding the Third Proportional to 203,176 and 436,592

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Solution

The third proportional to 203,176 and 436,592 is: 938,164.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,176 : 436,592 = 436,592 : x
  2. Step 2: Convert to fraction form
    203,176/436,592 = 436,592/x
  3. Step 3: Cross multiply
    203,176x = 436,592 × 436,592
  4. Step 4: Simplify right side
    203,176x = 190,612,574,464
  5. Step 5: Solve for x
    x = 190,612,574,464/203,176
  6. Step 6: Final answer
    x = 938,164.82

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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.