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Finding the Third Proportional to 183,463 and 374,702

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Solution

The third proportional to 183,463 and 374,702 is: 765,285.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,463 : 374,702 = 374,702 : x
  2. Step 2: Convert to fraction form
    183,463/374,702 = 374,702/x
  3. Step 3: Cross multiply
    183,463x = 374,702 × 374,702
  4. Step 4: Simplify right side
    183,463x = 140,401,588,804
  5. Step 5: Solve for x
    x = 140,401,588,804/183,463
  6. Step 6: Final answer
    x = 765,285.58

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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.