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Finding the Third Proportional to 183,835 and 276,846

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Solution

The third proportional to 183,835 and 276,846 is: 416,915.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,835 : 276,846 = 276,846 : x
  2. Step 2: Convert to fraction form
    183,835/276,846 = 276,846/x
  3. Step 3: Cross multiply
    183,835x = 276,846 × 276,846
  4. Step 4: Simplify right side
    183,835x = 76,643,707,716
  5. Step 5: Solve for x
    x = 76,643,707,716/183,835
  6. Step 6: Final answer
    x = 416,915.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.