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Finding the Third Proportional to 140,915 and 308,979

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Solution

The third proportional to 140,915 and 308,979 is: 677,486.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,915 : 308,979 = 308,979 : x
  2. Step 2: Convert to fraction form
    140,915/308,979 = 308,979/x
  3. Step 3: Cross multiply
    140,915x = 308,979 × 308,979
  4. Step 4: Simplify right side
    140,915x = 95,468,022,441
  5. Step 5: Solve for x
    x = 95,468,022,441/140,915
  6. Step 6: Final answer
    x = 677,486.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.