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Finding the Third Proportional to 161,408 and 248,916

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Solution

The third proportional to 161,408 and 248,916 is: 383,866.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,408 : 248,916 = 248,916 : x
  2. Step 2: Convert to fraction form
    161,408/248,916 = 248,916/x
  3. Step 3: Cross multiply
    161,408x = 248,916 × 248,916
  4. Step 4: Simplify right side
    161,408x = 61,959,175,056
  5. Step 5: Solve for x
    x = 61,959,175,056/161,408
  6. Step 6: Final answer
    x = 383,866.82

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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.