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Finding the Third Proportional to 179,520 and 278,760

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Solution

The third proportional to 179,520 and 278,760 is: 432,860.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,520 : 278,760 = 278,760 : x
  2. Step 2: Convert to fraction form
    179,520/278,760 = 278,760/x
  3. Step 3: Cross multiply
    179,520x = 278,760 × 278,760
  4. Step 4: Simplify right side
    179,520x = 77,707,137,600
  5. Step 5: Solve for x
    x = 77,707,137,600/179,520
  6. Step 6: Final answer
    x = 432,860.61

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.