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Finding the Third Proportional to 201,301 and 276,867

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Solution

The third proportional to 201,301 and 276,867 is: 380,799.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,301 : 276,867 = 276,867 : x
  2. Step 2: Convert to fraction form
    201,301/276,867 = 276,867/x
  3. Step 3: Cross multiply
    201,301x = 276,867 × 276,867
  4. Step 4: Simplify right side
    201,301x = 76,655,335,689
  5. Step 5: Solve for x
    x = 76,655,335,689/201,301
  6. Step 6: Final answer
    x = 380,799.58

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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.