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Finding the Third Proportional to 230,144 and 353,264

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Solution

The third proportional to 230,144 and 353,264 is: 542,249.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,144 : 353,264 = 353,264 : x
  2. Step 2: Convert to fraction form
    230,144/353,264 = 353,264/x
  3. Step 3: Cross multiply
    230,144x = 353,264 × 353,264
  4. Step 4: Simplify right side
    230,144x = 124,795,453,696
  5. Step 5: Solve for x
    x = 124,795,453,696/230,144
  6. Step 6: Final answer
    x = 542,249.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.