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Finding the Third Proportional to 238,474.13 and 332,196.19

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Solution

The third proportional to 238,474.13 and 332,196.19 is: 462,751.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,474.13 : 332,196.19 = 332,196.19 : x
  2. Step 2: Convert to fraction form
    238,474.13/332,196.19 = 332,196.19/x
  3. Step 3: Cross multiply
    238,474.13x = 332,196.19 × 332,196.19
  4. Step 4: Simplify right side
    238,474.13x = 110,354,306,989.54
  5. Step 5: Solve for x
    x = 110,354,306,989.54/238,474.13
  6. Step 6: Final answer
    x = 462,751.70

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.