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Finding the Third Proportional to 200,871 and 303,360

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Solution

The third proportional to 200,871 and 303,360 is: 458,141.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,871 : 303,360 = 303,360 : x
  2. Step 2: Convert to fraction form
    200,871/303,360 = 303,360/x
  3. Step 3: Cross multiply
    200,871x = 303,360 × 303,360
  4. Step 4: Simplify right side
    200,871x = 92,027,289,600
  5. Step 5: Solve for x
    x = 92,027,289,600/200,871
  6. Step 6: Final answer
    x = 458,141.24

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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.