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Finding the Third Proportional to 160,467.33 and 338,841.56

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Solution

The third proportional to 160,467.33 and 338,841.56 is: 715,495.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,467.33 : 338,841.56 = 338,841.56 : x
  2. Step 2: Convert to fraction form
    160,467.33/338,841.56 = 338,841.56/x
  3. Step 3: Cross multiply
    160,467.33x = 338,841.56 × 338,841.56
  4. Step 4: Simplify right side
    160,467.33x = 114,813,604,477.44
  5. Step 5: Solve for x
    x = 114,813,604,477.44/160,467.33
  6. Step 6: Final answer
    x = 715,495.21

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.