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Finding the Third Proportional to 167,244 and 357,384

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Solution

The third proportional to 167,244 and 357,384 is: 763,694.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,244 : 357,384 = 357,384 : x
  2. Step 2: Convert to fraction form
    167,244/357,384 = 357,384/x
  3. Step 3: Cross multiply
    167,244x = 357,384 × 357,384
  4. Step 4: Simplify right side
    167,244x = 127,723,323,456
  5. Step 5: Solve for x
    x = 127,723,323,456/167,244
  6. Step 6: Final answer
    x = 763,694.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.