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Finding the Third Proportional to 202,552 and 436,268

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Solution

The third proportional to 202,552 and 436,268 is: 939,658.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,552 : 436,268 = 436,268 : x
  2. Step 2: Convert to fraction form
    202,552/436,268 = 436,268/x
  3. Step 3: Cross multiply
    202,552x = 436,268 × 436,268
  4. Step 4: Simplify right side
    202,552x = 190,329,767,824
  5. Step 5: Solve for x
    x = 190,329,767,824/202,552
  6. Step 6: Final answer
    x = 939,658.79

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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.