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Finding the Third Proportional to 70,219 and 150,280

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Solution

The third proportional to 70,219 and 150,280 is: 321,623.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,219 : 150,280 = 150,280 : x
  2. Step 2: Convert to fraction form
    70,219/150,280 = 150,280/x
  3. Step 3: Cross multiply
    70,219x = 150,280 × 150,280
  4. Step 4: Simplify right side
    70,219x = 22,584,078,400
  5. Step 5: Solve for x
    x = 22,584,078,400/70,219
  6. Step 6: Final answer
    x = 321,623.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.