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Finding the Third Proportional to 237,949.50 and 350,345.25

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Solution

The third proportional to 237,949.50 and 350,345.25 is: 515,831.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,949.50 : 350,345.25 = 350,345.25 : x
  2. Step 2: Convert to fraction form
    237,949.50/350,345.25 = 350,345.25/x
  3. Step 3: Cross multiply
    237,949.50x = 350,345.25 × 350,345.25
  4. Step 4: Simplify right side
    237,949.50x = 122,741,794,197.56
  5. Step 5: Solve for x
    x = 122,741,794,197.56/237,949.50
  6. Step 6: Final answer
    x = 515,831.28

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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.