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Finding the Third Proportional to 298.75 and 587.75

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Solution

The third proportional to 298.75 and 587.75 is: 1,156.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.75 : 587.75 = 587.75 : x
  2. Step 2: Convert to fraction form
    298.75/587.75 = 587.75/x
  3. Step 3: Cross multiply
    298.75x = 587.75 × 587.75
  4. Step 4: Simplify right side
    298.75x = 345,450.06
  5. Step 5: Solve for x
    x = 345,450.06/298.75
  6. Step 6: Final answer
    x = 1,156.32

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.