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Finding the Third Proportional to 171,033 and 395,898

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Solution

The third proportional to 171,033 and 395,898 is: 916,403.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,033 : 395,898 = 395,898 : x
  2. Step 2: Convert to fraction form
    171,033/395,898 = 395,898/x
  3. Step 3: Cross multiply
    171,033x = 395,898 × 395,898
  4. Step 4: Simplify right side
    171,033x = 156,735,226,404
  5. Step 5: Solve for x
    x = 156,735,226,404/171,033
  6. Step 6: Final answer
    x = 916,403.42

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.