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Finding the Third Proportional to 149,148 and 232,794

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Solution

The third proportional to 149,148 and 232,794 is: 363,350.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,148 : 232,794 = 232,794 : x
  2. Step 2: Convert to fraction form
    149,148/232,794 = 232,794/x
  3. Step 3: Cross multiply
    149,148x = 232,794 × 232,794
  4. Step 4: Simplify right side
    149,148x = 54,193,046,436
  5. Step 5: Solve for x
    x = 54,193,046,436/149,148
  6. Step 6: Final answer
    x = 363,350.81

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.