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Finding the Third Proportional to 80,358 and 174,097

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Solution

The third proportional to 80,358 and 174,097 is: 377,184.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,358 : 174,097 = 174,097 : x
  2. Step 2: Convert to fraction form
    80,358/174,097 = 174,097/x
  3. Step 3: Cross multiply
    80,358x = 174,097 × 174,097
  4. Step 4: Simplify right side
    80,358x = 30,309,765,409
  5. Step 5: Solve for x
    x = 30,309,765,409/80,358
  6. Step 6: Final answer
    x = 377,184.17

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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.