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Finding the Third Proportional to 238,144 and 332,960

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Solution

The third proportional to 238,144 and 332,960 is: 465,526.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,144 : 332,960 = 332,960 : x
  2. Step 2: Convert to fraction form
    238,144/332,960 = 332,960/x
  3. Step 3: Cross multiply
    238,144x = 332,960 × 332,960
  4. Step 4: Simplify right side
    238,144x = 110,862,361,600
  5. Step 5: Solve for x
    x = 110,862,361,600/238,144
  6. Step 6: Final answer
    x = 465,526.58

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.