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Finding the Third Proportional to 143,231 and 315,062

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Solution

The third proportional to 143,231 and 315,062 is: 693,034.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,231 : 315,062 = 315,062 : x
  2. Step 2: Convert to fraction form
    143,231/315,062 = 315,062/x
  3. Step 3: Cross multiply
    143,231x = 315,062 × 315,062
  4. Step 4: Simplify right side
    143,231x = 99,264,063,844
  5. Step 5: Solve for x
    x = 99,264,063,844/143,231
  6. Step 6: Final answer
    x = 693,034.77

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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.