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Finding the Third Proportional to 161,235.75 and 350,081.25

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Solution

The third proportional to 161,235.75 and 350,081.25 is: 760,109.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,235.75 : 350,081.25 = 350,081.25 : x
  2. Step 2: Convert to fraction form
    161,235.75/350,081.25 = 350,081.25/x
  3. Step 3: Cross multiply
    161,235.75x = 350,081.25 × 350,081.25
  4. Step 4: Simplify right side
    161,235.75x = 122,556,881,601.56
  5. Step 5: Solve for x
    x = 122,556,881,601.56/161,235.75
  6. Step 6: Final answer
    x = 760,109.85

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Why These Related Problems?

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