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Finding the Third Proportional to 202,328 and 302,104

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Solution

The third proportional to 202,328 and 302,104 is: 451,083.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,328 : 302,104 = 302,104 : x
  2. Step 2: Convert to fraction form
    202,328/302,104 = 302,104/x
  3. Step 3: Cross multiply
    202,328x = 302,104 × 302,104
  4. Step 4: Simplify right side
    202,328x = 91,266,826,816
  5. Step 5: Solve for x
    x = 91,266,826,816/202,328
  6. Step 6: Final answer
    x = 451,083.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.