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Finding the Third Proportional to 80,208 and 173,808

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Solution

The third proportional to 80,208 and 173,808 is: 376,636.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,208 : 173,808 = 173,808 : x
  2. Step 2: Convert to fraction form
    80,208/173,808 = 173,808/x
  3. Step 3: Cross multiply
    80,208x = 173,808 × 173,808
  4. Step 4: Simplify right side
    80,208x = 30,209,220,864
  5. Step 5: Solve for x
    x = 30,209,220,864/80,208
  6. Step 6: Final answer
    x = 376,636.01

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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.