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Finding the Third Proportional to 237,546 and 350,019

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Solution

The third proportional to 237,546 and 350,019 is: 515,745.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,546 : 350,019 = 350,019 : x
  2. Step 2: Convert to fraction form
    237,546/350,019 = 350,019/x
  3. Step 3: Cross multiply
    237,546x = 350,019 × 350,019
  4. Step 4: Simplify right side
    237,546x = 122,513,300,361
  5. Step 5: Solve for x
    x = 122,513,300,361/237,546
  6. Step 6: Final answer
    x = 515,745.58

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.