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Finding the Third Proportional to 223,961 and 339,495

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Solution

The third proportional to 223,961 and 339,495 is: 514,629.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,961 : 339,495 = 339,495 : x
  2. Step 2: Convert to fraction form
    223,961/339,495 = 339,495/x
  3. Step 3: Cross multiply
    223,961x = 339,495 × 339,495
  4. Step 4: Simplify right side
    223,961x = 115,256,855,025
  5. Step 5: Solve for x
    x = 115,256,855,025/223,961
  6. Step 6: Final answer
    x = 514,629.13

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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.