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Finding the Third Proportional to 146 and 283.75

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Solution

The third proportional to 146 and 283.75 is: 551.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    146 : 283.75 = 283.75 : x
  2. Step 2: Convert to fraction form
    146/283.75 = 283.75/x
  3. Step 3: Cross multiply
    146x = 283.75 × 283.75
  4. Step 4: Simplify right side
    146x = 80,514.06
  5. Step 5: Solve for x
    x = 80,514.06/146
  6. Step 6: Final answer
    x = 551.47

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Why These Related Problems?

These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.