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Finding the Third Proportional to 170,714 and 226,533

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Solution

The third proportional to 170,714 and 226,533 is: 300,603.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,714 : 226,533 = 226,533 : x
  2. Step 2: Convert to fraction form
    170,714/226,533 = 226,533/x
  3. Step 3: Cross multiply
    170,714x = 226,533 × 226,533
  4. Step 4: Simplify right side
    170,714x = 51,317,200,089
  5. Step 5: Solve for x
    x = 51,317,200,089/170,714
  6. Step 6: Final answer
    x = 300,603.35

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.