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Finding the Third Proportional to 137,427.75 and 298,355.63

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Solution

The third proportional to 137,427.75 and 298,355.63 is: 647,730.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,427.75 : 298,355.63 = 298,355.63 : x
  2. Step 2: Convert to fraction form
    137,427.75/298,355.63 = 298,355.63/x
  3. Step 3: Cross multiply
    137,427.75x = 298,355.63 × 298,355.63
  4. Step 4: Simplify right side
    137,427.75x = 89,016,078,969.14
  5. Step 5: Solve for x
    x = 89,016,078,969.14/137,427.75
  6. Step 6: Final answer
    x = 647,730.02

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.