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Finding the Third Proportional to 154,364 and 233,180

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Solution

The third proportional to 154,364 and 233,180 is: 352,238.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,364 : 233,180 = 233,180 : x
  2. Step 2: Convert to fraction form
    154,364/233,180 = 233,180/x
  3. Step 3: Cross multiply
    154,364x = 233,180 × 233,180
  4. Step 4: Simplify right side
    154,364x = 54,372,912,400
  5. Step 5: Solve for x
    x = 54,372,912,400/154,364
  6. Step 6: Final answer
    x = 352,238.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.