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Finding the Third Proportional to 136,994 and 214,957

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Solution

The third proportional to 136,994 and 214,957 is: 337,288.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,994 : 214,957 = 214,957 : x
  2. Step 2: Convert to fraction form
    136,994/214,957 = 214,957/x
  3. Step 3: Cross multiply
    136,994x = 214,957 × 214,957
  4. Step 4: Simplify right side
    136,994x = 46,206,511,849
  5. Step 5: Solve for x
    x = 46,206,511,849/136,994
  6. Step 6: Final answer
    x = 337,288.58

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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.