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Finding the Third Proportional to 149,034 and 225,477

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Solution

The third proportional to 149,034 and 225,477 is: 341,129.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,034 : 225,477 = 225,477 : x
  2. Step 2: Convert to fraction form
    149,034/225,477 = 225,477/x
  3. Step 3: Cross multiply
    149,034x = 225,477 × 225,477
  4. Step 4: Simplify right side
    149,034x = 50,839,877,529
  5. Step 5: Solve for x
    x = 50,839,877,529/149,034
  6. Step 6: Final answer
    x = 341,129.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.