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Finding the Third Proportional to 135,644.63 and 206,625.94

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Solution

The third proportional to 135,644.63 and 206,625.94 is: 314,750.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,644.63 : 206,625.94 = 206,625.94 : x
  2. Step 2: Convert to fraction form
    135,644.63/206,625.94 = 206,625.94/x
  3. Step 3: Cross multiply
    135,644.63x = 206,625.94 × 206,625.94
  4. Step 4: Simplify right side
    135,644.63x = 42,694,278,047.75
  5. Step 5: Solve for x
    x = 42,694,278,047.75/135,644.63
  6. Step 6: Final answer
    x = 314,750.98

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.