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Finding the Third Proportional to 161,453 and 248,993

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Solution

The third proportional to 161,453 and 248,993 is: 383,997.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,453 : 248,993 = 248,993 : x
  2. Step 2: Convert to fraction form
    161,453/248,993 = 248,993/x
  3. Step 3: Cross multiply
    161,453x = 248,993 × 248,993
  4. Step 4: Simplify right side
    161,453x = 61,997,514,049
  5. Step 5: Solve for x
    x = 61,997,514,049/161,453
  6. Step 6: Final answer
    x = 383,997.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.