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Finding the Third Proportional to 146,346.75 and 304,175.25

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Solution

The third proportional to 146,346.75 and 304,175.25 is: 632,214.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,346.75 : 304,175.25 = 304,175.25 : x
  2. Step 2: Convert to fraction form
    146,346.75/304,175.25 = 304,175.25/x
  3. Step 3: Cross multiply
    146,346.75x = 304,175.25 × 304,175.25
  4. Step 4: Simplify right side
    146,346.75x = 92,522,582,712.56
  5. Step 5: Solve for x
    x = 92,522,582,712.56/146,346.75
  6. Step 6: Final answer
    x = 632,214.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.