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Finding the Third Proportional to 149,852.25 and 232,906.50

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Solution

The third proportional to 149,852.25 and 232,906.50 is: 361,992.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,852.25 : 232,906.50 = 232,906.50 : x
  2. Step 2: Convert to fraction form
    149,852.25/232,906.50 = 232,906.50/x
  3. Step 3: Cross multiply
    149,852.25x = 232,906.50 × 232,906.50
  4. Step 4: Simplify right side
    149,852.25x = 54,245,437,742.25
  5. Step 5: Solve for x
    x = 54,245,437,742.25/149,852.25
  6. Step 6: Final answer
    x = 361,992.81

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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.