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Finding the Third Proportional to 177,104.25 and 382,195.13

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Solution

The third proportional to 177,104.25 and 382,195.13 is: 824,786.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,104.25 : 382,195.13 = 382,195.13 : x
  2. Step 2: Convert to fraction form
    177,104.25/382,195.13 = 382,195.13/x
  3. Step 3: Cross multiply
    177,104.25x = 382,195.13 × 382,195.13
  4. Step 4: Simplify right side
    177,104.25x = 146,073,113,573.77
  5. Step 5: Solve for x
    x = 146,073,113,573.77/177,104.25
  6. Step 6: Final answer
    x = 824,786.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.