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Finding the Third Proportional to 167,080.50 and 353,982

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Solution

The third proportional to 167,080.50 and 353,982 is: 749,957.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,080.50 : 353,982 = 353,982 : x
  2. Step 2: Convert to fraction form
    167,080.50/353,982 = 353,982/x
  3. Step 3: Cross multiply
    167,080.50x = 353,982 × 353,982
  4. Step 4: Simplify right side
    167,080.50x = 125,303,256,324
  5. Step 5: Solve for x
    x = 125,303,256,324/167,080.50
  6. Step 6: Final answer
    x = 749,957.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.