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Finding the Third Proportional to 168,522 and 253,851

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Solution

The third proportional to 168,522 and 253,851 is: 382,385.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,522 : 253,851 = 253,851 : x
  2. Step 2: Convert to fraction form
    168,522/253,851 = 253,851/x
  3. Step 3: Cross multiply
    168,522x = 253,851 × 253,851
  4. Step 4: Simplify right side
    168,522x = 64,440,330,201
  5. Step 5: Solve for x
    x = 64,440,330,201/168,522
  6. Step 6: Final answer
    x = 382,385.27

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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.