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Finding the Third Proportional to 131,948 and 276,858

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Solution

The third proportional to 131,948 and 276,858 is: 580,913.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,948 : 276,858 = 276,858 : x
  2. Step 2: Convert to fraction form
    131,948/276,858 = 276,858/x
  3. Step 3: Cross multiply
    131,948x = 276,858 × 276,858
  4. Step 4: Simplify right side
    131,948x = 76,650,352,164
  5. Step 5: Solve for x
    x = 76,650,352,164/131,948
  6. Step 6: Final answer
    x = 580,913.33

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.