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Finding the Third Proportional to 185,030 and 276,799

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Solution

The third proportional to 185,030 and 276,799 is: 414,082.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,030 : 276,799 = 276,799 : x
  2. Step 2: Convert to fraction form
    185,030/276,799 = 276,799/x
  3. Step 3: Cross multiply
    185,030x = 276,799 × 276,799
  4. Step 4: Simplify right side
    185,030x = 76,617,686,401
  5. Step 5: Solve for x
    x = 76,617,686,401/185,030
  6. Step 6: Final answer
    x = 414,082.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.