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Finding the Third Proportional to 202,508 and 436,168

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Solution

The third proportional to 202,508 and 436,168 is: 939,432.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,508 : 436,168 = 436,168 : x
  2. Step 2: Convert to fraction form
    202,508/436,168 = 436,168/x
  3. Step 3: Cross multiply
    202,508x = 436,168 × 436,168
  4. Step 4: Simplify right side
    202,508x = 190,242,524,224
  5. Step 5: Solve for x
    x = 190,242,524,224/202,508
  6. Step 6: Final answer
    x = 939,432.14

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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.