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Finding the Third Proportional to 183,287.81 and 276,103.69

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Solution

The third proportional to 183,287.81 and 276,103.69 is: 415,920.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,287.81 : 276,103.69 = 276,103.69 : x
  2. Step 2: Convert to fraction form
    183,287.81/276,103.69 = 276,103.69/x
  3. Step 3: Cross multiply
    183,287.81x = 276,103.69 × 276,103.69
  4. Step 4: Simplify right side
    183,287.81x = 76,233,246,251.10
  5. Step 5: Solve for x
    x = 76,233,246,251.10/183,287.81
  6. Step 6: Final answer
    x = 415,920.98

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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.