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Finding the Third Proportional to 103,228 and 150,858

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Solution

The third proportional to 103,228 and 150,858 is: 220,464.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,228 : 150,858 = 150,858 : x
  2. Step 2: Convert to fraction form
    103,228/150,858 = 150,858/x
  3. Step 3: Cross multiply
    103,228x = 150,858 × 150,858
  4. Step 4: Simplify right side
    103,228x = 22,758,136,164
  5. Step 5: Solve for x
    x = 22,758,136,164/103,228
  6. Step 6: Final answer
    x = 220,464.76

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.