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Finding the Third Proportional to 167,275.13 and 238,456.69

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Solution

The third proportional to 167,275.13 and 238,456.69 is: 339,928.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,275.13 : 238,456.69 = 238,456.69 : x
  2. Step 2: Convert to fraction form
    167,275.13/238,456.69 = 238,456.69/x
  3. Step 3: Cross multiply
    167,275.13x = 238,456.69 × 238,456.69
  4. Step 4: Simplify right side
    167,275.13x = 56,861,591,813.47
  5. Step 5: Solve for x
    x = 56,861,591,813.47/167,275.13
  6. Step 6: Final answer
    x = 339,928.56

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.