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Finding the Third Proportional to 160,964.72 and 349,608.66

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Solution

The third proportional to 160,964.72 and 349,608.66 is: 759,335.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,964.72 : 349,608.66 = 349,608.66 : x
  2. Step 2: Convert to fraction form
    160,964.72/349,608.66 = 349,608.66/x
  3. Step 3: Cross multiply
    160,964.72x = 349,608.66 × 349,608.66
  4. Step 4: Simplify right side
    160,964.72x = 122,226,212,524.93
  5. Step 5: Solve for x
    x = 122,226,212,524.93/160,964.72
  6. Step 6: Final answer
    x = 759,335.42

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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.