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Finding the Third Proportional to 128,494.69 and 281,977.88

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Solution

The third proportional to 128,494.69 and 281,977.88 is: 618,792.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,494.69 : 281,977.88 = 281,977.88 : x
  2. Step 2: Convert to fraction form
    128,494.69/281,977.88 = 281,977.88/x
  3. Step 3: Cross multiply
    128,494.69x = 281,977.88 × 281,977.88
  4. Step 4: Simplify right side
    128,494.69x = 79,511,521,989.52
  5. Step 5: Solve for x
    x = 79,511,521,989.52/128,494.69
  6. Step 6: Final answer
    x = 618,792.29

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.