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Finding the Third Proportional to 167,555.50 and 234,384

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Solution

The third proportional to 167,555.50 and 234,384 is: 327,866.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,555.50 : 234,384 = 234,384 : x
  2. Step 2: Convert to fraction form
    167,555.50/234,384 = 234,384/x
  3. Step 3: Cross multiply
    167,555.50x = 234,384 × 234,384
  4. Step 4: Simplify right side
    167,555.50x = 54,935,859,456
  5. Step 5: Solve for x
    x = 54,935,859,456/167,555.50
  6. Step 6: Final answer
    x = 327,866.64

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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.