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Finding the Third Proportional to 150,360 and 223,920

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Solution

The third proportional to 150,360 and 223,920 is: 333,467.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,360 : 223,920 = 223,920 : x
  2. Step 2: Convert to fraction form
    150,360/223,920 = 223,920/x
  3. Step 3: Cross multiply
    150,360x = 223,920 × 223,920
  4. Step 4: Simplify right side
    150,360x = 50,140,166,400
  5. Step 5: Solve for x
    x = 50,140,166,400/150,360
  6. Step 6: Final answer
    x = 333,467.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.