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Finding the Third Proportional to 317 and 364

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Solution

The third proportional to 317 and 364 is: 417.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    317 : 364 = 364 : x
  2. Step 2: Convert to fraction form
    317/364 = 364/x
  3. Step 3: Cross multiply
    317x = 364 × 364
  4. Step 4: Simplify right side
    317x = 132,496
  5. Step 5: Solve for x
    x = 132,496/317
  6. Step 6: Final answer
    x = 417.97

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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.