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Finding the Third Proportional to 138,504.94 and 297,698.63

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Solution

The third proportional to 138,504.94 and 297,698.63 is: 639,865.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,504.94 : 297,698.63 = 297,698.63 : x
  2. Step 2: Convert to fraction form
    138,504.94/297,698.63 = 297,698.63/x
  3. Step 3: Cross multiply
    138,504.94x = 297,698.63 × 297,698.63
  4. Step 4: Simplify right side
    138,504.94x = 88,624,471,326.89
  5. Step 5: Solve for x
    x = 88,624,471,326.89/138,504.94
  6. Step 6: Final answer
    x = 639,865.07

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.