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Finding the Third Proportional to 156,309.75 and 323,676

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Solution

The third proportional to 156,309.75 and 323,676 is: 670,247.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,309.75 : 323,676 = 323,676 : x
  2. Step 2: Convert to fraction form
    156,309.75/323,676 = 323,676/x
  3. Step 3: Cross multiply
    156,309.75x = 323,676 × 323,676
  4. Step 4: Simplify right side
    156,309.75x = 104,766,152,976
  5. Step 5: Solve for x
    x = 104,766,152,976/156,309.75
  6. Step 6: Final answer
    x = 670,247.08

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.