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Finding the Third Proportional to 177,546 and 382,154

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Solution

The third proportional to 177,546 and 382,154 is: 822,556.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,546 : 382,154 = 382,154 : x
  2. Step 2: Convert to fraction form
    177,546/382,154 = 382,154/x
  3. Step 3: Cross multiply
    177,546x = 382,154 × 382,154
  4. Step 4: Simplify right side
    177,546x = 146,041,679,716
  5. Step 5: Solve for x
    x = 146,041,679,716/177,546
  6. Step 6: Final answer
    x = 822,556.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.