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Finding the Third Proportional to 174,999 and 270,699

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Solution

The third proportional to 174,999 and 270,699 is: 418,733.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,999 : 270,699 = 270,699 : x
  2. Step 2: Convert to fraction form
    174,999/270,699 = 270,699/x
  3. Step 3: Cross multiply
    174,999x = 270,699 × 270,699
  4. Step 4: Simplify right side
    174,999x = 73,277,948,601
  5. Step 5: Solve for x
    x = 73,277,948,601/174,999
  6. Step 6: Final answer
    x = 418,733.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.