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Finding the Third Proportional to 223,945 and 339,471

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Solution

The third proportional to 223,945 and 339,471 is: 514,593.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,945 : 339,471 = 339,471 : x
  2. Step 2: Convert to fraction form
    223,945/339,471 = 339,471/x
  3. Step 3: Cross multiply
    223,945x = 339,471 × 339,471
  4. Step 4: Simplify right side
    223,945x = 115,240,559,841
  5. Step 5: Solve for x
    x = 115,240,559,841/223,945
  6. Step 6: Final answer
    x = 514,593.14

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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.