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Finding the Third Proportional to 183,454 and 374,684

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Solution

The third proportional to 183,454 and 374,684 is: 765,249.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,454 : 374,684 = 374,684 : x
  2. Step 2: Convert to fraction form
    183,454/374,684 = 374,684/x
  3. Step 3: Cross multiply
    183,454x = 374,684 × 374,684
  4. Step 4: Simplify right side
    183,454x = 140,388,099,856
  5. Step 5: Solve for x
    x = 140,388,099,856/183,454
  6. Step 6: Final answer
    x = 765,249.60

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.