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Finding the Third Proportional to 167,142 and 357,611

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Solution

The third proportional to 167,142 and 357,611 is: 765,131.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,142 : 357,611 = 357,611 : x
  2. Step 2: Convert to fraction form
    167,142/357,611 = 357,611/x
  3. Step 3: Cross multiply
    167,142x = 357,611 × 357,611
  4. Step 4: Simplify right side
    167,142x = 127,885,627,321
  5. Step 5: Solve for x
    x = 127,885,627,321/167,142
  6. Step 6: Final answer
    x = 765,131.61

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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.