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Finding the Third Proportional to 146,493 and 319,833

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Solution

The third proportional to 146,493 and 319,833 is: 698,280.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,493 : 319,833 = 319,833 : x
  2. Step 2: Convert to fraction form
    146,493/319,833 = 319,833/x
  3. Step 3: Cross multiply
    146,493x = 319,833 × 319,833
  4. Step 4: Simplify right side
    146,493x = 102,293,147,889
  5. Step 5: Solve for x
    x = 102,293,147,889/146,493
  6. Step 6: Final answer
    x = 698,280.11

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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.