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Finding the Third Proportional to 80,604 and 172,296

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Solution

The third proportional to 80,604 and 172,296 is: 368,293.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,604 : 172,296 = 172,296 : x
  2. Step 2: Convert to fraction form
    80,604/172,296 = 172,296/x
  3. Step 3: Cross multiply
    80,604x = 172,296 × 172,296
  4. Step 4: Simplify right side
    80,604x = 29,685,911,616
  5. Step 5: Solve for x
    x = 29,685,911,616/80,604
  6. Step 6: Final answer
    x = 368,293.28

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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.