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Finding the Third Proportional to 185,152.50 and 276,515.44

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Solution

The third proportional to 185,152.50 and 276,515.44 is: 412,961.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,152.50 : 276,515.44 = 276,515.44 : x
  2. Step 2: Convert to fraction form
    185,152.50/276,515.44 = 276,515.44/x
  3. Step 3: Cross multiply
    185,152.50x = 276,515.44 × 276,515.44
  4. Step 4: Simplify right side
    185,152.50x = 76,460,787,175.82
  5. Step 5: Solve for x
    x = 76,460,787,175.82/185,152.50
  6. Step 6: Final answer
    x = 412,961.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.