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Finding the Third Proportional to 146,364 and 225,954

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Solution

The third proportional to 146,364 and 225,954 is: 348,823.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,364 : 225,954 = 225,954 : x
  2. Step 2: Convert to fraction form
    146,364/225,954 = 225,954/x
  3. Step 3: Cross multiply
    146,364x = 225,954 × 225,954
  4. Step 4: Simplify right side
    146,364x = 51,055,210,116
  5. Step 5: Solve for x
    x = 51,055,210,116/146,364
  6. Step 6: Final answer
    x = 348,823.55

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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.