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Finding the Third Proportional to 183,936 and 375,648

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Solution

The third proportional to 183,936 and 375,648 is: 767,176.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,936 : 375,648 = 375,648 : x
  2. Step 2: Convert to fraction form
    183,936/375,648 = 375,648/x
  3. Step 3: Cross multiply
    183,936x = 375,648 × 375,648
  4. Step 4: Simplify right side
    183,936x = 141,111,419,904
  5. Step 5: Solve for x
    x = 141,111,419,904/183,936
  6. Step 6: Final answer
    x = 767,176.73

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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.