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Finding the Third Proportional to 203,047 and 298,684

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Solution

The third proportional to 203,047 and 298,684 is: 439,366.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,047 : 298,684 = 298,684 : x
  2. Step 2: Convert to fraction form
    203,047/298,684 = 298,684/x
  3. Step 3: Cross multiply
    203,047x = 298,684 × 298,684
  4. Step 4: Simplify right side
    203,047x = 89,212,131,856
  5. Step 5: Solve for x
    x = 89,212,131,856/203,047
  6. Step 6: Final answer
    x = 439,366.90

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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.