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Finding the Third Proportional to 202,874 and 296,799

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Solution

The third proportional to 202,874 and 296,799 is: 434,208.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,874 : 296,799 = 296,799 : x
  2. Step 2: Convert to fraction form
    202,874/296,799 = 296,799/x
  3. Step 3: Cross multiply
    202,874x = 296,799 × 296,799
  4. Step 4: Simplify right side
    202,874x = 88,089,646,401
  5. Step 5: Solve for x
    x = 88,089,646,401/202,874
  6. Step 6: Final answer
    x = 434,208.65

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.