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Finding the Third Proportional to 167,134 and 357,596

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Solution

The third proportional to 167,134 and 357,596 is: 765,104.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,134 : 357,596 = 357,596 : x
  2. Step 2: Convert to fraction form
    167,134/357,596 = 357,596/x
  3. Step 3: Cross multiply
    167,134x = 357,596 × 357,596
  4. Step 4: Simplify right side
    167,134x = 127,874,899,216
  5. Step 5: Solve for x
    x = 127,874,899,216/167,134
  6. Step 6: Final answer
    x = 765,104.04

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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.