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Finding the Third Proportional to 80,177 and 174,017

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Solution

The third proportional to 80,177 and 174,017 is: 377,688.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,177 : 174,017 = 174,017 : x
  2. Step 2: Convert to fraction form
    80,177/174,017 = 174,017/x
  3. Step 3: Cross multiply
    80,177x = 174,017 × 174,017
  4. Step 4: Simplify right side
    80,177x = 30,281,916,289
  5. Step 5: Solve for x
    x = 30,281,916,289/80,177
  6. Step 6: Final answer
    x = 377,688.32

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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.