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Finding the Third Proportional to 203,040 and 298,674

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Solution

The third proportional to 203,040 and 298,674 is: 439,352.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,040 : 298,674 = 298,674 : x
  2. Step 2: Convert to fraction form
    203,040/298,674 = 298,674/x
  3. Step 3: Cross multiply
    203,040x = 298,674 × 298,674
  4. Step 4: Simplify right side
    203,040x = 89,206,158,276
  5. Step 5: Solve for x
    x = 89,206,158,276/203,040
  6. Step 6: Final answer
    x = 439,352.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.