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Finding the Third Proportional to 177,229 and 388,905

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Solution

The third proportional to 177,229 and 388,905 is: 853,399.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,229 : 388,905 = 388,905 : x
  2. Step 2: Convert to fraction form
    177,229/388,905 = 388,905/x
  3. Step 3: Cross multiply
    177,229x = 388,905 × 388,905
  4. Step 4: Simplify right side
    177,229x = 151,247,099,025
  5. Step 5: Solve for x
    x = 151,247,099,025/177,229
  6. Step 6: Final answer
    x = 853,399.27

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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.