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Finding the Third Proportional to 313.75 and 452.38

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Solution

The third proportional to 313.75 and 452.38 is: 652.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.75 : 452.38 = 452.38 : x
  2. Step 2: Convert to fraction form
    313.75/452.38 = 452.38/x
  3. Step 3: Cross multiply
    313.75x = 452.38 × 452.38
  4. Step 4: Simplify right side
    313.75x = 204,643.14
  5. Step 5: Solve for x
    x = 204,643.14/313.75
  6. Step 6: Final answer
    x = 652.25

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.