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Finding the Third Proportional to 103,328 and 158,880

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Solution

The third proportional to 103,328 and 158,880 is: 244,298.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,328 : 158,880 = 158,880 : x
  2. Step 2: Convert to fraction form
    103,328/158,880 = 158,880/x
  3. Step 3: Cross multiply
    103,328x = 158,880 × 158,880
  4. Step 4: Simplify right side
    103,328x = 25,242,854,400
  5. Step 5: Solve for x
    x = 25,242,854,400/103,328
  6. Step 6: Final answer
    x = 244,298.30

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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.