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Finding the Third Proportional to 149,949 and 232,092

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Solution

The third proportional to 149,949 and 232,092 is: 359,233.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,949 : 232,092 = 232,092 : x
  2. Step 2: Convert to fraction form
    149,949/232,092 = 232,092/x
  3. Step 3: Cross multiply
    149,949x = 232,092 × 232,092
  4. Step 4: Simplify right side
    149,949x = 53,866,696,464
  5. Step 5: Solve for x
    x = 53,866,696,464/149,949
  6. Step 6: Final answer
    x = 359,233.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.