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Finding the Third Proportional to 161,181 and 350,347

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Solution

The third proportional to 161,181 and 350,347 is: 761,522.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,181 : 350,347 = 350,347 : x
  2. Step 2: Convert to fraction form
    161,181/350,347 = 350,347/x
  3. Step 3: Cross multiply
    161,181x = 350,347 × 350,347
  4. Step 4: Simplify right side
    161,181x = 122,743,020,409
  5. Step 5: Solve for x
    x = 122,743,020,409/161,181
  6. Step 6: Final answer
    x = 761,522.89

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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.