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Finding the Third Proportional to 80,784.50 and 171,410

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Solution

The third proportional to 80,784.50 and 171,410 is: 363,700.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,784.50 : 171,410 = 171,410 : x
  2. Step 2: Convert to fraction form
    80,784.50/171,410 = 171,410/x
  3. Step 3: Cross multiply
    80,784.50x = 171,410 × 171,410
  4. Step 4: Simplify right side
    80,784.50x = 29,381,388,100
  5. Step 5: Solve for x
    x = 29,381,388,100/80,784.50
  6. Step 6: Final answer
    x = 363,700.81

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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.