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Finding the Third Proportional to 167,596 and 234,434

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Solution

The third proportional to 167,596 and 234,434 is: 327,927.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,596 : 234,434 = 234,434 : x
  2. Step 2: Convert to fraction form
    167,596/234,434 = 234,434/x
  3. Step 3: Cross multiply
    167,596x = 234,434 × 234,434
  4. Step 4: Simplify right side
    167,596x = 54,959,300,356
  5. Step 5: Solve for x
    x = 54,959,300,356/167,596
  6. Step 6: Final answer
    x = 327,927.28

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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.