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Finding the Third Proportional to 238,944 and 352,932

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Solution

The third proportional to 238,944 and 352,932 is: 521,297.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,944 : 352,932 = 352,932 : x
  2. Step 2: Convert to fraction form
    238,944/352,932 = 352,932/x
  3. Step 3: Cross multiply
    238,944x = 352,932 × 352,932
  4. Step 4: Simplify right side
    238,944x = 124,560,996,624
  5. Step 5: Solve for x
    x = 124,560,996,624/238,944
  6. Step 6: Final answer
    x = 521,297.86

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.