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Finding the Third Proportional to 172,014 and 404,734

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Solution

The third proportional to 172,014 and 404,734 is: 952,303.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,014 : 404,734 = 404,734 : x
  2. Step 2: Convert to fraction form
    172,014/404,734 = 404,734/x
  3. Step 3: Cross multiply
    172,014x = 404,734 × 404,734
  4. Step 4: Simplify right side
    172,014x = 163,809,610,756
  5. Step 5: Solve for x
    x = 163,809,610,756/172,014
  6. Step 6: Final answer
    x = 952,303.94

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.