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Finding the Third Proportional to 168,796.13 and 255,001.50

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Solution

The third proportional to 168,796.13 and 255,001.50 is: 385,232.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,796.13 : 255,001.50 = 255,001.50 : x
  2. Step 2: Convert to fraction form
    168,796.13/255,001.50 = 255,001.50/x
  3. Step 3: Cross multiply
    168,796.13x = 255,001.50 × 255,001.50
  4. Step 4: Simplify right side
    168,796.13x = 65,025,765,002.25
  5. Step 5: Solve for x
    x = 65,025,765,002.25/168,796.13
  6. Step 6: Final answer
    x = 385,232.57

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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.