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Finding the Third Proportional to 138,651.75 and 299,436.75

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Solution

The third proportional to 138,651.75 and 299,436.75 is: 646,673.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,651.75 : 299,436.75 = 299,436.75 : x
  2. Step 2: Convert to fraction form
    138,651.75/299,436.75 = 299,436.75/x
  3. Step 3: Cross multiply
    138,651.75x = 299,436.75 × 299,436.75
  4. Step 4: Simplify right side
    138,651.75x = 89,662,367,250.56
  5. Step 5: Solve for x
    x = 89,662,367,250.56/138,651.75
  6. Step 6: Final answer
    x = 646,673.17

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.