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Finding the Third Proportional to 200,918 and 303,978

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Solution

The third proportional to 200,918 and 303,978 is: 459,902.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,918 : 303,978 = 303,978 : x
  2. Step 2: Convert to fraction form
    200,918/303,978 = 303,978/x
  3. Step 3: Cross multiply
    200,918x = 303,978 × 303,978
  4. Step 4: Simplify right side
    200,918x = 92,402,624,484
  5. Step 5: Solve for x
    x = 92,402,624,484/200,918
  6. Step 6: Final answer
    x = 459,902.17

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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.