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Finding the Third Proportional to 176,898 and 388,549

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Solution

The third proportional to 176,898 and 388,549 is: 853,431.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,898 : 388,549 = 388,549 : x
  2. Step 2: Convert to fraction form
    176,898/388,549 = 388,549/x
  3. Step 3: Cross multiply
    176,898x = 388,549 × 388,549
  4. Step 4: Simplify right side
    176,898x = 150,970,325,401
  5. Step 5: Solve for x
    x = 150,970,325,401/176,898
  6. Step 6: Final answer
    x = 853,431.50

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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.