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Finding the Third Proportional to 208,916 and 318,270

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Solution

The third proportional to 208,916 and 318,270 is: 484,863.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,916 : 318,270 = 318,270 : x
  2. Step 2: Convert to fraction form
    208,916/318,270 = 318,270/x
  3. Step 3: Cross multiply
    208,916x = 318,270 × 318,270
  4. Step 4: Simplify right side
    208,916x = 101,295,792,900
  5. Step 5: Solve for x
    x = 101,295,792,900/208,916
  6. Step 6: Final answer
    x = 484,863.74

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.