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Finding the Third Proportional to 200,918.25 and 303,960.38

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Solution

The third proportional to 200,918.25 and 303,960.38 is: 459,848.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,918.25 : 303,960.38 = 303,960.38 : x
  2. Step 2: Convert to fraction form
    200,918.25/303,960.38 = 303,960.38/x
  3. Step 3: Cross multiply
    200,918.25x = 303,960.38 × 303,960.38
  4. Step 4: Simplify right side
    200,918.25x = 92,391,909,570.14
  5. Step 5: Solve for x
    x = 92,391,909,570.14/200,918.25
  6. Step 6: Final answer
    x = 459,848.27

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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.