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Finding the Third Proportional to 168,480 and 253,404

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Solution

The third proportional to 168,480 and 253,404 is: 381,134.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,480 : 253,404 = 253,404 : x
  2. Step 2: Convert to fraction form
    168,480/253,404 = 253,404/x
  3. Step 3: Cross multiply
    168,480x = 253,404 × 253,404
  4. Step 4: Simplify right side
    168,480x = 64,213,587,216
  5. Step 5: Solve for x
    x = 64,213,587,216/168,480
  6. Step 6: Final answer
    x = 381,134.78

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