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Finding the Third Proportional to 167,851.13 and 343,456.88

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Solution

The third proportional to 167,851.13 and 343,456.88 is: 702,781.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,851.13 : 343,456.88 = 343,456.88 : x
  2. Step 2: Convert to fraction form
    167,851.13/343,456.88 = 343,456.88/x
  3. Step 3: Cross multiply
    167,851.13x = 343,456.88 × 343,456.88
  4. Step 4: Simplify right side
    167,851.13x = 117,962,624,984.77
  5. Step 5: Solve for x
    x = 117,962,624,984.77/167,851.13
  6. Step 6: Final answer
    x = 702,781.26

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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.