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Finding the Third Proportional to 177,688.69 and 419,461.03

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Solution

The third proportional to 177,688.69 and 419,461.03 is: 990,201.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,688.69 : 419,461.03 = 419,461.03 : x
  2. Step 2: Convert to fraction form
    177,688.69/419,461.03 = 419,461.03/x
  3. Step 3: Cross multiply
    177,688.69x = 419,461.03 × 419,461.03
  4. Step 4: Simplify right side
    177,688.69x = 175,947,556,737.31
  5. Step 5: Solve for x
    x = 175,947,556,737.31/177,688.69
  6. Step 6: Final answer
    x = 990,201.23

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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.