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Finding the Third Proportional to 160,340 and 253,876

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Solution

The third proportional to 160,340 and 253,876 is: 401,977.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,340 : 253,876 = 253,876 : x
  2. Step 2: Convert to fraction form
    160,340/253,876 = 253,876/x
  3. Step 3: Cross multiply
    160,340x = 253,876 × 253,876
  4. Step 4: Simplify right side
    160,340x = 64,453,023,376
  5. Step 5: Solve for x
    x = 64,453,023,376/160,340
  6. Step 6: Final answer
    x = 401,977.19

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.