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Finding the Third Proportional to 137,019.73 and 298,939.36

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Solution

The third proportional to 137,019.73 and 298,939.36 is: 652,203.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,019.73 : 298,939.36 = 298,939.36 : x
  2. Step 2: Convert to fraction form
    137,019.73/298,939.36 = 298,939.36/x
  3. Step 3: Cross multiply
    137,019.73x = 298,939.36 × 298,939.36
  4. Step 4: Simplify right side
    137,019.73x = 89,364,740,583.54
  5. Step 5: Solve for x
    x = 89,364,740,583.54/137,019.73
  6. Step 6: Final answer
    x = 652,203.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.