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Finding the Third Proportional to 149,463 and 323,349

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Solution

The third proportional to 149,463 and 323,349 is: 699,534.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,463 : 323,349 = 323,349 : x
  2. Step 2: Convert to fraction form
    149,463/323,349 = 323,349/x
  3. Step 3: Cross multiply
    149,463x = 323,349 × 323,349
  4. Step 4: Simplify right side
    149,463x = 104,554,575,801
  5. Step 5: Solve for x
    x = 104,554,575,801/149,463
  6. Step 6: Final answer
    x = 699,534.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.