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Finding the Third Proportional to 298 and 431.50

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Solution

The third proportional to 298 and 431.50 is: 624.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    298 : 431.50 = 431.50 : x
  2. Step 2: Convert to fraction form
    298/431.50 = 431.50/x
  3. Step 3: Cross multiply
    298x = 431.50 × 431.50
  4. Step 4: Simplify right side
    298x = 186,192.25
  5. Step 5: Solve for x
    x = 186,192.25/298
  6. Step 6: Final answer
    x = 624.81

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.