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Finding the Third Proportional to 298.83 and 403.45

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Solution

The third proportional to 298.83 and 403.45 is: 544.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.83 : 403.45 = 403.45 : x
  2. Step 2: Convert to fraction form
    298.83/403.45 = 403.45/x
  3. Step 3: Cross multiply
    298.83x = 403.45 × 403.45
  4. Step 4: Simplify right side
    298.83x = 162,774.42
  5. Step 5: Solve for x
    x = 162,774.42/298.83
  6. Step 6: Final answer
    x = 544.71

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.