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Finding the Third Proportional to 177,636 and 380,598

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Solution

The third proportional to 177,636 and 380,598 is: 815,458.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,636 : 380,598 = 380,598 : x
  2. Step 2: Convert to fraction form
    177,636/380,598 = 380,598/x
  3. Step 3: Cross multiply
    177,636x = 380,598 × 380,598
  4. Step 4: Simplify right side
    177,636x = 144,854,837,604
  5. Step 5: Solve for x
    x = 144,854,837,604/177,636
  6. Step 6: Final answer
    x = 815,458.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.