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Finding the Third Proportional to 148,974 and 302,268

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Solution

The third proportional to 148,974 and 302,268 is: 613,301.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,974 : 302,268 = 302,268 : x
  2. Step 2: Convert to fraction form
    148,974/302,268 = 302,268/x
  3. Step 3: Cross multiply
    148,974x = 302,268 × 302,268
  4. Step 4: Simplify right side
    148,974x = 91,365,943,824
  5. Step 5: Solve for x
    x = 91,365,943,824/148,974
  6. Step 6: Final answer
    x = 613,301.27

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.