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Finding the Third Proportional to 223,144 and 339,968

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Solution

The third proportional to 223,144 and 339,968 is: 517,953.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,144 : 339,968 = 339,968 : x
  2. Step 2: Convert to fraction form
    223,144/339,968 = 339,968/x
  3. Step 3: Cross multiply
    223,144x = 339,968 × 339,968
  4. Step 4: Simplify right side
    223,144x = 115,578,241,024
  5. Step 5: Solve for x
    x = 115,578,241,024/223,144
  6. Step 6: Final answer
    x = 517,953.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.