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Finding the Third Proportional to 103,504 and 160,328

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Solution

The third proportional to 103,504 and 160,328 is: 248,348.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,504 : 160,328 = 160,328 : x
  2. Step 2: Convert to fraction form
    103,504/160,328 = 160,328/x
  3. Step 3: Cross multiply
    103,504x = 160,328 × 160,328
  4. Step 4: Simplify right side
    103,504x = 25,705,067,584
  5. Step 5: Solve for x
    x = 25,705,067,584/103,504
  6. Step 6: Final answer
    x = 248,348.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.