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Finding the Third Proportional to 171,132.75 and 264,080.25

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Solution

The third proportional to 171,132.75 and 264,080.25 is: 407,510.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,132.75 : 264,080.25 = 264,080.25 : x
  2. Step 2: Convert to fraction form
    171,132.75/264,080.25 = 264,080.25/x
  3. Step 3: Cross multiply
    171,132.75x = 264,080.25 × 264,080.25
  4. Step 4: Simplify right side
    171,132.75x = 69,738,378,440.06
  5. Step 5: Solve for x
    x = 69,738,378,440.06/171,132.75
  6. Step 6: Final answer
    x = 407,510.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.