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Finding the Third Proportional to 168,061 and 252,272

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Solution

The third proportional to 168,061 and 252,272 is: 378,678.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,061 : 252,272 = 252,272 : x
  2. Step 2: Convert to fraction form
    168,061/252,272 = 252,272/x
  3. Step 3: Cross multiply
    168,061x = 252,272 × 252,272
  4. Step 4: Simplify right side
    168,061x = 63,641,161,984
  5. Step 5: Solve for x
    x = 63,641,161,984/168,061
  6. Step 6: Final answer
    x = 378,678.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.