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Finding the Third Proportional to 168,652 and 254,086

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Solution

The third proportional to 168,652 and 254,086 is: 382,798.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,652 : 254,086 = 254,086 : x
  2. Step 2: Convert to fraction form
    168,652/254,086 = 254,086/x
  3. Step 3: Cross multiply
    168,652x = 254,086 × 254,086
  4. Step 4: Simplify right side
    168,652x = 64,559,695,396
  5. Step 5: Solve for x
    x = 64,559,695,396/168,652
  6. Step 6: Final answer
    x = 382,798.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.