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Finding the Third Proportional to 180,924 and 276,084

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Solution

The third proportional to 180,924 and 276,084 is: 421,294.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,924 : 276,084 = 276,084 : x
  2. Step 2: Convert to fraction form
    180,924/276,084 = 276,084/x
  3. Step 3: Cross multiply
    180,924x = 276,084 × 276,084
  4. Step 4: Simplify right side
    180,924x = 76,222,375,056
  5. Step 5: Solve for x
    x = 76,222,375,056/180,924
  6. Step 6: Final answer
    x = 421,294.99

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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.