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Finding the Third Proportional to 126,815.63 and 294,865.31

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Solution

The third proportional to 126,815.63 and 294,865.31 is: 685,605.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,815.63 : 294,865.31 = 294,865.31 : x
  2. Step 2: Convert to fraction form
    126,815.63/294,865.31 = 294,865.31/x
  3. Step 3: Cross multiply
    126,815.63x = 294,865.31 × 294,865.31
  4. Step 4: Simplify right side
    126,815.63x = 86,945,552,515.72
  5. Step 5: Solve for x
    x = 86,945,552,515.72/126,815.63
  6. Step 6: Final answer
    x = 685,605.99

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.