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Finding the Third Proportional to 136,748.25 and 298,464.75

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Solution

The third proportional to 136,748.25 and 298,464.75 is: 651,424.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,748.25 : 298,464.75 = 298,464.75 : x
  2. Step 2: Convert to fraction form
    136,748.25/298,464.75 = 298,464.75/x
  3. Step 3: Cross multiply
    136,748.25x = 298,464.75 × 298,464.75
  4. Step 4: Simplify right side
    136,748.25x = 89,081,206,992.56
  5. Step 5: Solve for x
    x = 89,081,206,992.56/136,748.25
  6. Step 6: Final answer
    x = 651,424.84

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.