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Finding the Third Proportional to 208,968 and 315,396

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Solution

The third proportional to 208,968 and 315,396 is: 476,028.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,968 : 315,396 = 315,396 : x
  2. Step 2: Convert to fraction form
    208,968/315,396 = 315,396/x
  3. Step 3: Cross multiply
    208,968x = 315,396 × 315,396
  4. Step 4: Simplify right side
    208,968x = 99,474,636,816
  5. Step 5: Solve for x
    x = 99,474,636,816/208,968
  6. Step 6: Final answer
    x = 476,028.08

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.