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Finding the Third Proportional to 160,715.25 and 350,003.25

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Solution

The third proportional to 160,715.25 and 350,003.25 is: 762,231.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,715.25 : 350,003.25 = 350,003.25 : x
  2. Step 2: Convert to fraction form
    160,715.25/350,003.25 = 350,003.25/x
  3. Step 3: Cross multiply
    160,715.25x = 350,003.25 × 350,003.25
  4. Step 4: Simplify right side
    160,715.25x = 122,502,275,010.56
  5. Step 5: Solve for x
    x = 122,502,275,010.56/160,715.25
  6. Step 6: Final answer
    x = 762,231.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.