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Finding the Third Proportional to 177,234 and 388,916

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Solution

The third proportional to 177,234 and 388,916 is: 853,423.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,234 : 388,916 = 388,916 : x
  2. Step 2: Convert to fraction form
    177,234/388,916 = 388,916/x
  3. Step 3: Cross multiply
    177,234x = 388,916 × 388,916
  4. Step 4: Simplify right side
    177,234x = 151,255,655,056
  5. Step 5: Solve for x
    x = 151,255,655,056/177,234
  6. Step 6: Final answer
    x = 853,423.47

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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.