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Finding the Third Proportional to 128,166 and 276,052.50

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Solution

The third proportional to 128,166 and 276,052.50 is: 594,580.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,166 : 276,052.50 = 276,052.50 : x
  2. Step 2: Convert to fraction form
    128,166/276,052.50 = 276,052.50/x
  3. Step 3: Cross multiply
    128,166x = 276,052.50 × 276,052.50
  4. Step 4: Simplify right side
    128,166x = 76,204,982,756.25
  5. Step 5: Solve for x
    x = 76,204,982,756.25/128,166
  6. Step 6: Final answer
    x = 594,580.33

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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.