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Finding the Third Proportional to 154,296 and 312,885

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Solution

The third proportional to 154,296 and 312,885 is: 634,475.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,296 : 312,885 = 312,885 : x
  2. Step 2: Convert to fraction form
    154,296/312,885 = 312,885/x
  3. Step 3: Cross multiply
    154,296x = 312,885 × 312,885
  4. Step 4: Simplify right side
    154,296x = 97,897,023,225
  5. Step 5: Solve for x
    x = 97,897,023,225/154,296
  6. Step 6: Final answer
    x = 634,475.44

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.