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Finding the Third Proportional to 168,521 and 253,849.50

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Solution

The third proportional to 168,521 and 253,849.50 is: 382,383.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,521 : 253,849.50 = 253,849.50 : x
  2. Step 2: Convert to fraction form
    168,521/253,849.50 = 253,849.50/x
  3. Step 3: Cross multiply
    168,521x = 253,849.50 × 253,849.50
  4. Step 4: Simplify right side
    168,521x = 64,439,568,650.25
  5. Step 5: Solve for x
    x = 64,439,568,650.25/168,521
  6. Step 6: Final answer
    x = 382,383.02

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.