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Finding the Third Proportional to 177,885 and 388,953

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Solution

The third proportional to 177,885 and 388,953 is: 850,462.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,885 : 388,953 = 388,953 : x
  2. Step 2: Convert to fraction form
    177,885/388,953 = 388,953/x
  3. Step 3: Cross multiply
    177,885x = 388,953 × 388,953
  4. Step 4: Simplify right side
    177,885x = 151,284,436,209
  5. Step 5: Solve for x
    x = 151,284,436,209/177,885
  6. Step 6: Final answer
    x = 850,462.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.