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Finding the Third Proportional to 102,408 and 160,296

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Solution

The third proportional to 102,408 and 160,296 is: 250,906.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,408 : 160,296 = 160,296 : x
  2. Step 2: Convert to fraction form
    102,408/160,296 = 160,296/x
  3. Step 3: Cross multiply
    102,408x = 160,296 × 160,296
  4. Step 4: Simplify right side
    102,408x = 25,694,807,616
  5. Step 5: Solve for x
    x = 25,694,807,616/102,408
  6. Step 6: Final answer
    x = 250,906.25

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.