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Finding the Third Proportional to 185,157 and 276,522.75

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Solution

The third proportional to 185,157 and 276,522.75 is: 412,972.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,157 : 276,522.75 = 276,522.75 : x
  2. Step 2: Convert to fraction form
    185,157/276,522.75 = 276,522.75/x
  3. Step 3: Cross multiply
    185,157x = 276,522.75 × 276,522.75
  4. Step 4: Simplify right side
    185,157x = 76,464,831,267.56
  5. Step 5: Solve for x
    x = 76,464,831,267.56/185,157
  6. Step 6: Final answer
    x = 412,972.94

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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.