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Finding the Third Proportional to 80,188 and 174,044

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Solution

The third proportional to 80,188 and 174,044 is: 377,753.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,188 : 174,044 = 174,044 : x
  2. Step 2: Convert to fraction form
    80,188/174,044 = 174,044/x
  3. Step 3: Cross multiply
    80,188x = 174,044 × 174,044
  4. Step 4: Simplify right side
    80,188x = 30,291,313,936
  5. Step 5: Solve for x
    x = 30,291,313,936/80,188
  6. Step 6: Final answer
    x = 377,753.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.