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Finding the Third Proportional to 183,444 and 374,664

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Solution

The third proportional to 183,444 and 374,664 is: 765,209.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,444 : 374,664 = 374,664 : x
  2. Step 2: Convert to fraction form
    183,444/374,664 = 374,664/x
  3. Step 3: Cross multiply
    183,444x = 374,664 × 374,664
  4. Step 4: Simplify right side
    183,444x = 140,373,112,896
  5. Step 5: Solve for x
    x = 140,373,112,896/183,444
  6. Step 6: Final answer
    x = 765,209.62

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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.