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Finding the Third Proportional to 180,287 and 384,704

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Solution

The third proportional to 180,287 and 384,704 is: 820,897.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,287 : 384,704 = 384,704 : x
  2. Step 2: Convert to fraction form
    180,287/384,704 = 384,704/x
  3. Step 3: Cross multiply
    180,287x = 384,704 × 384,704
  4. Step 4: Simplify right side
    180,287x = 147,997,167,616
  5. Step 5: Solve for x
    x = 147,997,167,616/180,287
  6. Step 6: Final answer
    x = 820,897.61

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.