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Finding the Third Proportional to 177,108.75 and 382,205.25

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Solution

The third proportional to 177,108.75 and 382,205.25 is: 824,808.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,108.75 : 382,205.25 = 382,205.25 : x
  2. Step 2: Convert to fraction form
    177,108.75/382,205.25 = 382,205.25/x
  3. Step 3: Cross multiply
    177,108.75x = 382,205.25 × 382,205.25
  4. Step 4: Simplify right side
    177,108.75x = 146,080,853,127.56
  5. Step 5: Solve for x
    x = 146,080,853,127.56/177,108.75
  6. Step 6: Final answer
    x = 824,808.79

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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.