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Finding the Third Proportional to 183,464 and 374,704

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Solution

The third proportional to 183,464 and 374,704 is: 765,289.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,464 : 374,704 = 374,704 : x
  2. Step 2: Convert to fraction form
    183,464/374,704 = 374,704/x
  3. Step 3: Cross multiply
    183,464x = 374,704 × 374,704
  4. Step 4: Simplify right side
    183,464x = 140,403,087,616
  5. Step 5: Solve for x
    x = 140,403,087,616/183,464
  6. Step 6: Final answer
    x = 765,289.58

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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.