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Finding the Third Proportional to 177,693 and 419,473

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Solution

The third proportional to 177,693 and 419,473 is: 990,233.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,693 : 419,473 = 419,473 : x
  2. Step 2: Convert to fraction form
    177,693/419,473 = 419,473/x
  3. Step 3: Cross multiply
    177,693x = 419,473 × 419,473
  4. Step 4: Simplify right side
    177,693x = 175,957,597,729
  5. Step 5: Solve for x
    x = 175,957,597,729/177,693
  6. Step 6: Final answer
    x = 990,233.70

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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.