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Finding the Third Proportional to 146,836.31 and 311,045.81

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Solution

The third proportional to 146,836.31 and 311,045.81 is: 658,893.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,836.31 : 311,045.81 = 311,045.81 : x
  2. Step 2: Convert to fraction form
    146,836.31/311,045.81 = 311,045.81/x
  3. Step 3: Cross multiply
    146,836.31x = 311,045.81 × 311,045.81
  4. Step 4: Simplify right side
    146,836.31x = 96,749,497,473.79
  5. Step 5: Solve for x
    x = 96,749,497,473.79/146,836.31
  6. Step 6: Final answer
    x = 658,893.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.