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Finding the Third Proportional to 148,928 and 302,176

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Solution

The third proportional to 148,928 and 302,176 is: 613,117.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,928 : 302,176 = 302,176 : x
  2. Step 2: Convert to fraction form
    148,928/302,176 = 302,176/x
  3. Step 3: Cross multiply
    148,928x = 302,176 × 302,176
  4. Step 4: Simplify right side
    148,928x = 91,310,334,976
  5. Step 5: Solve for x
    x = 91,310,334,976/148,928
  6. Step 6: Final answer
    x = 613,117.31

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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.