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Finding the Third Proportional to 312 and 360.75

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Solution

The third proportional to 312 and 360.75 is: 417.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    312 : 360.75 = 360.75 : x
  2. Step 2: Convert to fraction form
    312/360.75 = 360.75/x
  3. Step 3: Cross multiply
    312x = 360.75 × 360.75
  4. Step 4: Simplify right side
    312x = 130,140.56
  5. Step 5: Solve for x
    x = 130,140.56/312
  6. Step 6: Final answer
    x = 417.12

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These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.