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Finding the Third Proportional to 146,351.25 and 319,223.25

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Solution

The third proportional to 146,351.25 and 319,223.25 is: 696,293.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,351.25 : 319,223.25 = 319,223.25 : x
  2. Step 2: Convert to fraction form
    146,351.25/319,223.25 = 319,223.25/x
  3. Step 3: Cross multiply
    146,351.25x = 319,223.25 × 319,223.25
  4. Step 4: Simplify right side
    146,351.25x = 101,903,483,340.56
  5. Step 5: Solve for x
    x = 101,903,483,340.56/146,351.25
  6. Step 6: Final answer
    x = 696,293.90

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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.