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Finding the Third Proportional to 143,450 and 315,208

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Solution

The third proportional to 143,450 and 315,208 is: 692,618.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,450 : 315,208 = 315,208 : x
  2. Step 2: Convert to fraction form
    143,450/315,208 = 315,208/x
  3. Step 3: Cross multiply
    143,450x = 315,208 × 315,208
  4. Step 4: Simplify right side
    143,450x = 99,356,083,264
  5. Step 5: Solve for x
    x = 99,356,083,264/143,450
  6. Step 6: Final answer
    x = 692,618.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.