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Finding the Third Proportional to 128,582.44 and 276,301.13

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Solution

The third proportional to 128,582.44 and 276,301.13 is: 593,722.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,582.44 : 276,301.13 = 276,301.13 : x
  2. Step 2: Convert to fraction form
    128,582.44/276,301.13 = 276,301.13/x
  3. Step 3: Cross multiply
    128,582.44x = 276,301.13 × 276,301.13
  4. Step 4: Simplify right side
    128,582.44x = 76,342,311,676.27
  5. Step 5: Solve for x
    x = 76,342,311,676.27/128,582.44
  6. Step 6: Final answer
    x = 593,722.70

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.