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Finding the Third Proportional to 146,361 and 225,949.50

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Solution

The third proportional to 146,361 and 225,949.50 is: 348,816.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,361 : 225,949.50 = 225,949.50 : x
  2. Step 2: Convert to fraction form
    146,361/225,949.50 = 225,949.50/x
  3. Step 3: Cross multiply
    146,361x = 225,949.50 × 225,949.50
  4. Step 4: Simplify right side
    146,361x = 51,053,176,550.25
  5. Step 5: Solve for x
    x = 51,053,176,550.25/146,361
  6. Step 6: Final answer
    x = 348,816.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.