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Finding the Third Proportional to 146,037 and 298,986

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Solution

The third proportional to 146,037 and 298,986 is: 612,123.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,037 : 298,986 = 298,986 : x
  2. Step 2: Convert to fraction form
    146,037/298,986 = 298,986/x
  3. Step 3: Cross multiply
    146,037x = 298,986 × 298,986
  4. Step 4: Simplify right side
    146,037x = 89,392,628,196
  5. Step 5: Solve for x
    x = 89,392,628,196/146,037
  6. Step 6: Final answer
    x = 612,123.15

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.