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Finding the Third Proportional to 149,494 and 230,851

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Solution

The third proportional to 149,494 and 230,851 is: 356,483.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,494 : 230,851 = 230,851 : x
  2. Step 2: Convert to fraction form
    149,494/230,851 = 230,851/x
  3. Step 3: Cross multiply
    149,494x = 230,851 × 230,851
  4. Step 4: Simplify right side
    149,494x = 53,292,184,201
  5. Step 5: Solve for x
    x = 53,292,184,201/149,494
  6. Step 6: Final answer
    x = 356,483.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.