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Finding the Third Proportional to 180,554 and 274,671

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Solution

The third proportional to 180,554 and 274,671 is: 417,848.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,554 : 274,671 = 274,671 : x
  2. Step 2: Convert to fraction form
    180,554/274,671 = 274,671/x
  3. Step 3: Cross multiply
    180,554x = 274,671 × 274,671
  4. Step 4: Simplify right side
    180,554x = 75,444,158,241
  5. Step 5: Solve for x
    x = 75,444,158,241/180,554
  6. Step 6: Final answer
    x = 417,848.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.