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Finding the Third Proportional to 313.75 and 729.25

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Solution

The third proportional to 313.75 and 729.25 is: 1,695.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.75 : 729.25 = 729.25 : x
  2. Step 2: Convert to fraction form
    313.75/729.25 = 729.25/x
  3. Step 3: Cross multiply
    313.75x = 729.25 × 729.25
  4. Step 4: Simplify right side
    313.75x = 531,805.56
  5. Step 5: Solve for x
    x = 531,805.56/313.75
  6. Step 6: Final answer
    x = 1,695.00

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.