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Finding the Third Proportional to 136,908 and 294,054.75

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Solution

The third proportional to 136,908 and 294,054.75 is: 631,578.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,908 : 294,054.75 = 294,054.75 : x
  2. Step 2: Convert to fraction form
    136,908/294,054.75 = 294,054.75/x
  3. Step 3: Cross multiply
    136,908x = 294,054.75 × 294,054.75
  4. Step 4: Simplify right side
    136,908x = 86,468,195,997.56
  5. Step 5: Solve for x
    x = 86,468,195,997.56/136,908
  6. Step 6: Final answer
    x = 631,578.84

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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.