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Finding the Third Proportional to 137,018 and 214,993

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Solution

The third proportional to 137,018 and 214,993 is: 337,342.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,018 : 214,993 = 214,993 : x
  2. Step 2: Convert to fraction form
    137,018/214,993 = 214,993/x
  3. Step 3: Cross multiply
    137,018x = 214,993 × 214,993
  4. Step 4: Simplify right side
    137,018x = 46,221,990,049
  5. Step 5: Solve for x
    x = 46,221,990,049/137,018
  6. Step 6: Final answer
    x = 337,342.47

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.