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Finding the Third Proportional to 161,289 and 350,181

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Solution

The third proportional to 161,289 and 350,181 is: 760,291.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,289 : 350,181 = 350,181 : x
  2. Step 2: Convert to fraction form
    161,289/350,181 = 350,181/x
  3. Step 3: Cross multiply
    161,289x = 350,181 × 350,181
  4. Step 4: Simplify right side
    161,289x = 122,626,732,761
  5. Step 5: Solve for x
    x = 122,626,732,761/161,289
  6. Step 6: Final answer
    x = 760,291.98

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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.