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Finding the Third Proportional to 146,880 and 305,424

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Solution

The third proportional to 146,880 and 305,424 is: 635,102.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,880 : 305,424 = 305,424 : x
  2. Step 2: Convert to fraction form
    146,880/305,424 = 305,424/x
  3. Step 3: Cross multiply
    146,880x = 305,424 × 305,424
  4. Step 4: Simplify right side
    146,880x = 93,283,819,776
  5. Step 5: Solve for x
    x = 93,283,819,776/146,880
  6. Step 6: Final answer
    x = 635,102.26

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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.