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Finding the Third Proportional to 76,338 and 154,832

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Solution

The third proportional to 76,338 and 154,832 is: 314,036.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,338 : 154,832 = 154,832 : x
  2. Step 2: Convert to fraction form
    76,338/154,832 = 154,832/x
  3. Step 3: Cross multiply
    76,338x = 154,832 × 154,832
  4. Step 4: Simplify right side
    76,338x = 23,972,948,224
  5. Step 5: Solve for x
    x = 23,972,948,224/76,338
  6. Step 6: Final answer
    x = 314,036.89

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.