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Finding the Third Proportional to 161,699.44 and 340,155.19

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Solution

The third proportional to 161,699.44 and 340,155.19 is: 715,559.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,699.44 : 340,155.19 = 340,155.19 : x
  2. Step 2: Convert to fraction form
    161,699.44/340,155.19 = 340,155.19/x
  3. Step 3: Cross multiply
    161,699.44x = 340,155.19 × 340,155.19
  4. Step 4: Simplify right side
    161,699.44x = 115,705,551,583.16
  5. Step 5: Solve for x
    x = 115,705,551,583.16/161,699.44
  6. Step 6: Final answer
    x = 715,559.39

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.