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Finding the Third Proportional to 137,022.19 and 298,944.56

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Solution

The third proportional to 137,022.19 and 298,944.56 is: 652,214.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,022.19 : 298,944.56 = 298,944.56 : x
  2. Step 2: Convert to fraction form
    137,022.19/298,944.56 = 298,944.56/x
  3. Step 3: Cross multiply
    137,022.19x = 298,944.56 × 298,944.56
  4. Step 4: Simplify right side
    137,022.19x = 89,367,851,448.32
  5. Step 5: Solve for x
    x = 89,367,851,448.32/137,022.19
  6. Step 6: Final answer
    x = 652,214.46

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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.