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Finding the Third Proportional to 237,974 and 350,368

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Solution

The third proportional to 237,974 and 350,368 is: 515,845.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,974 : 350,368 = 350,368 : x
  2. Step 2: Convert to fraction form
    237,974/350,368 = 350,368/x
  3. Step 3: Cross multiply
    237,974x = 350,368 × 350,368
  4. Step 4: Simplify right side
    237,974x = 122,757,735,424
  5. Step 5: Solve for x
    x = 122,757,735,424/237,974
  6. Step 6: Final answer
    x = 515,845.16

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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.