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Finding the Third Proportional to 143,161 and 305,280.50

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Solution

The third proportional to 143,161 and 305,280.50 is: 650,988.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,161 : 305,280.50 = 305,280.50 : x
  2. Step 2: Convert to fraction form
    143,161/305,280.50 = 305,280.50/x
  3. Step 3: Cross multiply
    143,161x = 305,280.50 × 305,280.50
  4. Step 4: Simplify right side
    143,161x = 93,196,183,680.25
  5. Step 5: Solve for x
    x = 93,196,183,680.25/143,161
  6. Step 6: Final answer
    x = 650,988.63

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.