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Finding the Third Proportional to 181,503 and 256,671

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Solution

The third proportional to 181,503 and 256,671 is: 362,969.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,503 : 256,671 = 256,671 : x
  2. Step 2: Convert to fraction form
    181,503/256,671 = 256,671/x
  3. Step 3: Cross multiply
    181,503x = 256,671 × 256,671
  4. Step 4: Simplify right side
    181,503x = 65,880,002,241
  5. Step 5: Solve for x
    x = 65,880,002,241/181,503
  6. Step 6: Final answer
    x = 362,969.22

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.