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Finding the Third Proportional to 183,895.88 and 276,030

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Solution

The third proportional to 183,895.88 and 276,030 is: 414,324.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,895.88 : 276,030 = 276,030 : x
  2. Step 2: Convert to fraction form
    183,895.88/276,030 = 276,030/x
  3. Step 3: Cross multiply
    183,895.88x = 276,030 × 276,030
  4. Step 4: Simplify right side
    183,895.88x = 76,192,560,900
  5. Step 5: Solve for x
    x = 76,192,560,900/183,895.88
  6. Step 6: Final answer
    x = 414,324.47

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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.