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Finding the Third Proportional to 117,832 and 245,592

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Solution

The third proportional to 117,832 and 245,592 is: 511,876.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,832 : 245,592 = 245,592 : x
  2. Step 2: Convert to fraction form
    117,832/245,592 = 245,592/x
  3. Step 3: Cross multiply
    117,832x = 245,592 × 245,592
  4. Step 4: Simplify right side
    117,832x = 60,315,430,464
  5. Step 5: Solve for x
    x = 60,315,430,464/117,832
  6. Step 6: Final answer
    x = 511,876.49

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.