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Finding the Third Proportional to 167,851.69 and 343,459.69

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Solution

The third proportional to 167,851.69 and 343,459.69 is: 702,790.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,851.69 : 343,459.69 = 343,459.69 : x
  2. Step 2: Convert to fraction form
    167,851.69/343,459.69 = 343,459.69/x
  3. Step 3: Cross multiply
    167,851.69x = 343,459.69 × 343,459.69
  4. Step 4: Simplify right side
    167,851.69x = 117,964,556,937.60
  5. Step 5: Solve for x
    x = 117,964,556,937.60/167,851.69
  6. Step 6: Final answer
    x = 702,790.41

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.