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Finding the Third Proportional to 160,982.44 and 349,621.31

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Solution

The third proportional to 160,982.44 and 349,621.31 is: 759,306.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,982.44 : 349,621.31 = 349,621.31 : x
  2. Step 2: Convert to fraction form
    160,982.44/349,621.31 = 349,621.31/x
  3. Step 3: Cross multiply
    160,982.44x = 349,621.31 × 349,621.31
  4. Step 4: Simplify right side
    160,982.44x = 122,235,062,154.22
  5. Step 5: Solve for x
    x = 122,235,062,154.22/160,982.44
  6. Step 6: Final answer
    x = 759,306.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.