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Finding the Third Proportional to 128,508.75 and 278,469.75

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Solution

The third proportional to 128,508.75 and 278,469.75 is: 603,425.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,508.75 : 278,469.75 = 278,469.75 : x
  2. Step 2: Convert to fraction form
    128,508.75/278,469.75 = 278,469.75/x
  3. Step 3: Cross multiply
    128,508.75x = 278,469.75 × 278,469.75
  4. Step 4: Simplify right side
    128,508.75x = 77,545,401,665.06
  5. Step 5: Solve for x
    x = 77,545,401,665.06/128,508.75
  6. Step 6: Final answer
    x = 603,425.07

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.