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Finding the Third Proportional to 161,903.25 and 343,536.75

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Solution

The third proportional to 161,903.25 and 343,536.75 is: 728,938.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,903.25 : 343,536.75 = 343,536.75 : x
  2. Step 2: Convert to fraction form
    161,903.25/343,536.75 = 343,536.75/x
  3. Step 3: Cross multiply
    161,903.25x = 343,536.75 × 343,536.75
  4. Step 4: Simplify right side
    161,903.25x = 118,017,498,600.56
  5. Step 5: Solve for x
    x = 118,017,498,600.56/161,903.25
  6. Step 6: Final answer
    x = 728,938.42

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.