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Finding the Third Proportional to 160,991 and 349,645

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Solution

The third proportional to 160,991 and 349,645 is: 759,369.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,991 : 349,645 = 349,645 : x
  2. Step 2: Convert to fraction form
    160,991/349,645 = 349,645/x
  3. Step 3: Cross multiply
    160,991x = 349,645 × 349,645
  4. Step 4: Simplify right side
    160,991x = 122,251,626,025
  5. Step 5: Solve for x
    x = 122,251,626,025/160,991
  6. Step 6: Final answer
    x = 759,369.32

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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.