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Finding the Third Proportional to 160,739.44 and 345,673.13

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Solution

The third proportional to 160,739.44 and 345,673.13 is: 743,376.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,739.44 : 345,673.13 = 345,673.13 : x
  2. Step 2: Convert to fraction form
    160,739.44/345,673.13 = 345,673.13/x
  3. Step 3: Cross multiply
    160,739.44x = 345,673.13 × 345,673.13
  4. Step 4: Simplify right side
    160,739.44x = 119,489,909,347.27
  5. Step 5: Solve for x
    x = 119,489,909,347.27/160,739.44
  6. Step 6: Final answer
    x = 743,376.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.