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Finding the Third Proportional to 113,455.69 and 241,815.38

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Solution

The third proportional to 113,455.69 and 241,815.38 is: 515,396.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,455.69 : 241,815.38 = 241,815.38 : x
  2. Step 2: Convert to fraction form
    113,455.69/241,815.38 = 241,815.38/x
  3. Step 3: Cross multiply
    113,455.69x = 241,815.38 × 241,815.38
  4. Step 4: Simplify right side
    113,455.69x = 58,474,675,586.39
  5. Step 5: Solve for x
    x = 58,474,675,586.39/113,455.69
  6. Step 6: Final answer
    x = 515,396.60

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.