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Finding the Third Proportional to 237,960 and 350,364

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Solution

The third proportional to 237,960 and 350,364 is: 515,863.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,960 : 350,364 = 350,364 : x
  2. Step 2: Convert to fraction form
    237,960/350,364 = 350,364/x
  3. Step 3: Cross multiply
    237,960x = 350,364 × 350,364
  4. Step 4: Simplify right side
    237,960x = 122,754,932,496
  5. Step 5: Solve for x
    x = 122,754,932,496/237,960
  6. Step 6: Final answer
    x = 515,863.73

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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.