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Finding the Third Proportional to 177,103.50 and 382,195.50

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Solution

The third proportional to 177,103.50 and 382,195.50 is: 824,791.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,103.50 : 382,195.50 = 382,195.50 : x
  2. Step 2: Convert to fraction form
    177,103.50/382,195.50 = 382,195.50/x
  3. Step 3: Cross multiply
    177,103.50x = 382,195.50 × 382,195.50
  4. Step 4: Simplify right side
    177,103.50x = 146,073,400,220.25
  5. Step 5: Solve for x
    x = 146,073,400,220.25/177,103.50
  6. Step 6: Final answer
    x = 824,791.15

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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.