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Finding the Third Proportional to 168,319 and 252,910

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Solution

The third proportional to 168,319 and 252,910 is: 380,013.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,319 : 252,910 = 252,910 : x
  2. Step 2: Convert to fraction form
    168,319/252,910 = 252,910/x
  3. Step 3: Cross multiply
    168,319x = 252,910 × 252,910
  4. Step 4: Simplify right side
    168,319x = 63,963,468,100
  5. Step 5: Solve for x
    x = 63,963,468,100/168,319
  6. Step 6: Final answer
    x = 380,013.36

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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.