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Finding the Third Proportional to 181,444 and 384,518

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Solution

The third proportional to 181,444 and 384,518 is: 814,874.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,444 : 384,518 = 384,518 : x
  2. Step 2: Convert to fraction form
    181,444/384,518 = 384,518/x
  3. Step 3: Cross multiply
    181,444x = 384,518 × 384,518
  4. Step 4: Simplify right side
    181,444x = 147,854,092,324
  5. Step 5: Solve for x
    x = 147,854,092,324/181,444
  6. Step 6: Final answer
    x = 814,874.52

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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.