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Finding the Third Proportional to 70,219.50 and 150,280.50

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Solution

The third proportional to 70,219.50 and 150,280.50 is: 321,623.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,219.50 : 150,280.50 = 150,280.50 : x
  2. Step 2: Convert to fraction form
    70,219.50/150,280.50 = 150,280.50/x
  3. Step 3: Cross multiply
    70,219.50x = 150,280.50 × 150,280.50
  4. Step 4: Simplify right side
    70,219.50x = 22,584,228,680.25
  5. Step 5: Solve for x
    x = 22,584,228,680.25/70,219.50
  6. Step 6: Final answer
    x = 321,623.32

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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.