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Finding the Third Proportional to 177,685.88 and 419,455.13

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Solution

The third proportional to 177,685.88 and 419,455.13 is: 990,189.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,685.88 : 419,455.13 = 419,455.13 : x
  2. Step 2: Convert to fraction form
    177,685.88/419,455.13 = 419,455.13/x
  3. Step 3: Cross multiply
    177,685.88x = 419,455.13 × 419,455.13
  4. Step 4: Simplify right side
    177,685.88x = 175,942,601,888.77
  5. Step 5: Solve for x
    x = 175,942,601,888.77/177,685.88
  6. Step 6: Final answer
    x = 990,189.02

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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.