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Finding the Third Proportional to 120,865.92 and 258,339.38

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Solution

The third proportional to 120,865.92 and 258,339.38 is: 552,175.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,865.92 : 258,339.38 = 258,339.38 : x
  2. Step 2: Convert to fraction form
    120,865.92/258,339.38 = 258,339.38/x
  3. Step 3: Cross multiply
    120,865.92x = 258,339.38 × 258,339.38
  4. Step 4: Simplify right side
    120,865.92x = 66,739,232,675.39
  5. Step 5: Solve for x
    x = 66,739,232,675.39/120,865.92
  6. Step 6: Final answer
    x = 552,175.76

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.