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Finding the Third Proportional to 207,038 and 303,996

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Solution

The third proportional to 207,038 and 303,996 is: 446,360.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,038 : 303,996 = 303,996 : x
  2. Step 2: Convert to fraction form
    207,038/303,996 = 303,996/x
  3. Step 3: Cross multiply
    207,038x = 303,996 × 303,996
  4. Step 4: Simplify right side
    207,038x = 92,413,568,016
  5. Step 5: Solve for x
    x = 92,413,568,016/207,038
  6. Step 6: Final answer
    x = 446,360.42

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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.