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Finding the Third Proportional to 168,320 and 252,916

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Solution

The third proportional to 168,320 and 252,916 is: 380,029.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,320 : 252,916 = 252,916 : x
  2. Step 2: Convert to fraction form
    168,320/252,916 = 252,916/x
  3. Step 3: Cross multiply
    168,320x = 252,916 × 252,916
  4. Step 4: Simplify right side
    168,320x = 63,966,503,056
  5. Step 5: Solve for x
    x = 63,966,503,056/168,320
  6. Step 6: Final answer
    x = 380,029.13

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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.