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Finding the Third Proportional to 177,205 and 388,856

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Solution

The third proportional to 177,205 and 388,856 is: 853,299.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,205 : 388,856 = 388,856 : x
  2. Step 2: Convert to fraction form
    177,205/388,856 = 388,856/x
  3. Step 3: Cross multiply
    177,205x = 388,856 × 388,856
  4. Step 4: Simplify right side
    177,205x = 151,208,988,736
  5. Step 5: Solve for x
    x = 151,208,988,736/177,205
  6. Step 6: Final answer
    x = 853,299.79

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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.