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Finding the Third Proportional to 183,984 and 271,875

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Solution

The third proportional to 183,984 and 271,875 is: 401,752.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,984 : 271,875 = 271,875 : x
  2. Step 2: Convert to fraction form
    183,984/271,875 = 271,875/x
  3. Step 3: Cross multiply
    183,984x = 271,875 × 271,875
  4. Step 4: Simplify right side
    183,984x = 73,916,015,625
  5. Step 5: Solve for x
    x = 73,916,015,625/183,984
  6. Step 6: Final answer
    x = 401,752.41

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.