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Finding the Third Proportional to 181,749 and 385,530

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Solution

The third proportional to 181,749 and 385,530 is: 817,794.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,749 : 385,530 = 385,530 : x
  2. Step 2: Convert to fraction form
    181,749/385,530 = 385,530/x
  3. Step 3: Cross multiply
    181,749x = 385,530 × 385,530
  4. Step 4: Simplify right side
    181,749x = 148,633,380,900
  5. Step 5: Solve for x
    x = 148,633,380,900/181,749
  6. Step 6: Final answer
    x = 817,794.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.