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Finding the Third Proportional to 200,954.25 and 276,820.88

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Solution

The third proportional to 200,954.25 and 276,820.88 is: 381,329.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,954.25 : 276,820.88 = 276,820.88 : x
  2. Step 2: Convert to fraction form
    200,954.25/276,820.88 = 276,820.88/x
  3. Step 3: Cross multiply
    200,954.25x = 276,820.88 × 276,820.88
  4. Step 4: Simplify right side
    200,954.25x = 76,629,796,835.77
  5. Step 5: Solve for x
    x = 76,629,796,835.77/200,954.25
  6. Step 6: Final answer
    x = 381,329.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.