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Finding the Third Proportional to 160,820.44 and 349,653.09

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Solution

The third proportional to 160,820.44 and 349,653.09 is: 760,209.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,820.44 : 349,653.09 = 349,653.09 : x
  2. Step 2: Convert to fraction form
    160,820.44/349,653.09 = 349,653.09/x
  3. Step 3: Cross multiply
    160,820.44x = 349,653.09 × 349,653.09
  4. Step 4: Simplify right side
    160,820.44x = 122,257,285,968.95
  5. Step 5: Solve for x
    x = 122,257,285,968.95/160,820.44
  6. Step 6: Final answer
    x = 760,209.88

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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.