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Finding the Third Proportional to 177,855.75 and 419,838.75

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Solution

The third proportional to 177,855.75 and 419,838.75 is: 991,053.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,855.75 : 419,838.75 = 419,838.75 : x
  2. Step 2: Convert to fraction form
    177,855.75/419,838.75 = 419,838.75/x
  3. Step 3: Cross multiply
    177,855.75x = 419,838.75 × 419,838.75
  4. Step 4: Simplify right side
    177,855.75x = 176,264,576,001.56
  5. Step 5: Solve for x
    x = 176,264,576,001.56/177,855.75
  6. Step 6: Final answer
    x = 991,053.57

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.