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Finding the Third Proportional to 160,068 and 347,268

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Solution

The third proportional to 160,068 and 347,268 is: 753,398.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,068 : 347,268 = 347,268 : x
  2. Step 2: Convert to fraction form
    160,068/347,268 = 347,268/x
  3. Step 3: Cross multiply
    160,068x = 347,268 × 347,268
  4. Step 4: Simplify right side
    160,068x = 120,595,063,824
  5. Step 5: Solve for x
    x = 120,595,063,824/160,068
  6. Step 6: Final answer
    x = 753,398.95

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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.