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Finding the Third Proportional to 180,972 and 276,336

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Solution

The third proportional to 180,972 and 276,336 is: 421,952.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,972 : 276,336 = 276,336 : x
  2. Step 2: Convert to fraction form
    180,972/276,336 = 276,336/x
  3. Step 3: Cross multiply
    180,972x = 276,336 × 276,336
  4. Step 4: Simplify right side
    180,972x = 76,361,584,896
  5. Step 5: Solve for x
    x = 76,361,584,896/180,972
  6. Step 6: Final answer
    x = 421,952.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.