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Finding the Third Proportional to 177,156 and 388,872

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Solution

The third proportional to 177,156 and 388,872 is: 853,606.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,156 : 388,872 = 388,872 : x
  2. Step 2: Convert to fraction form
    177,156/388,872 = 388,872/x
  3. Step 3: Cross multiply
    177,156x = 388,872 × 388,872
  4. Step 4: Simplify right side
    177,156x = 151,221,432,384
  5. Step 5: Solve for x
    x = 151,221,432,384/177,156
  6. Step 6: Final answer
    x = 853,606.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.