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Finding the Third Proportional to 183,767 and 276,722

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Solution

The third proportional to 183,767 and 276,722 is: 416,696.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,767 : 276,722 = 276,722 : x
  2. Step 2: Convert to fraction form
    183,767/276,722 = 276,722/x
  3. Step 3: Cross multiply
    183,767x = 276,722 × 276,722
  4. Step 4: Simplify right side
    183,767x = 76,575,065,284
  5. Step 5: Solve for x
    x = 76,575,065,284/183,767
  6. Step 6: Final answer
    x = 416,696.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.