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Finding the Third Proportional to 146,236 and 319,238

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Solution

The third proportional to 146,236 and 319,238 is: 696,907.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,236 : 319,238 = 319,238 : x
  2. Step 2: Convert to fraction form
    146,236/319,238 = 319,238/x
  3. Step 3: Cross multiply
    146,236x = 319,238 × 319,238
  4. Step 4: Simplify right side
    146,236x = 101,912,900,644
  5. Step 5: Solve for x
    x = 101,912,900,644/146,236
  6. Step 6: Final answer
    x = 696,907.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.