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Finding the Third Proportional to 172,268 and 252,732

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Solution

The third proportional to 172,268 and 252,732 is: 370,779.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,268 : 252,732 = 252,732 : x
  2. Step 2: Convert to fraction form
    172,268/252,732 = 252,732/x
  3. Step 3: Cross multiply
    172,268x = 252,732 × 252,732
  4. Step 4: Simplify right side
    172,268x = 63,873,463,824
  5. Step 5: Solve for x
    x = 63,873,463,824/172,268
  6. Step 6: Final answer
    x = 370,779.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.