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Finding the Third Proportional to 195,876 and 342,904

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Solution

The third proportional to 195,876 and 342,904 is: 600,293.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,876 : 342,904 = 342,904 : x
  2. Step 2: Convert to fraction form
    195,876/342,904 = 342,904/x
  3. Step 3: Cross multiply
    195,876x = 342,904 × 342,904
  4. Step 4: Simplify right side
    195,876x = 117,583,153,216
  5. Step 5: Solve for x
    x = 117,583,153,216/195,876
  6. Step 6: Final answer
    x = 600,293.82

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.