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Finding the Third Proportional to 143,422 and 315,152

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Solution

The third proportional to 143,422 and 315,152 is: 692,507.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,422 : 315,152 = 315,152 : x
  2. Step 2: Convert to fraction form
    143,422/315,152 = 315,152/x
  3. Step 3: Cross multiply
    143,422x = 315,152 × 315,152
  4. Step 4: Simplify right side
    143,422x = 99,320,783,104
  5. Step 5: Solve for x
    x = 99,320,783,104/143,422
  6. Step 6: Final answer
    x = 692,507.31

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