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Finding the Third Proportional to 119,863.13 and 258,408.56

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Solution

The third proportional to 119,863.13 and 258,408.56 is: 557,093.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,863.13 : 258,408.56 = 258,408.56 : x
  2. Step 2: Convert to fraction form
    119,863.13/258,408.56 = 258,408.56/x
  3. Step 3: Cross multiply
    119,863.13x = 258,408.56 × 258,408.56
  4. Step 4: Simplify right side
    119,863.13x = 66,774,985,173.32
  5. Step 5: Solve for x
    x = 66,774,985,173.32/119,863.13
  6. Step 6: Final answer
    x = 557,093.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.