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Finding the Third Proportional to 233,530 and 361,230

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Solution

The third proportional to 233,530 and 361,230 is: 558,759.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,530 : 361,230 = 361,230 : x
  2. Step 2: Convert to fraction form
    233,530/361,230 = 361,230/x
  3. Step 3: Cross multiply
    233,530x = 361,230 × 361,230
  4. Step 4: Simplify right side
    233,530x = 130,487,112,900
  5. Step 5: Solve for x
    x = 130,487,112,900/233,530
  6. Step 6: Final answer
    x = 558,759.53

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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.