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Finding the Third Proportional to 234,145.69 and 258,749.44

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Solution

The third proportional to 234,145.69 and 258,749.44 is: 285,938.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,145.69 : 258,749.44 = 258,749.44 : x
  2. Step 2: Convert to fraction form
    234,145.69/258,749.44 = 258,749.44/x
  3. Step 3: Cross multiply
    234,145.69x = 258,749.44 × 258,749.44
  4. Step 4: Simplify right side
    234,145.69x = 66,951,271,406.57
  5. Step 5: Solve for x
    x = 66,951,271,406.57/234,145.69
  6. Step 6: Final answer
    x = 285,938.52

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.