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Finding the Third Proportional to 233,351 and 352,165

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Solution

The third proportional to 233,351 and 352,165 is: 531,474.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,351 : 352,165 = 352,165 : x
  2. Step 2: Convert to fraction form
    233,351/352,165 = 352,165/x
  3. Step 3: Cross multiply
    233,351x = 352,165 × 352,165
  4. Step 4: Simplify right side
    233,351x = 124,020,187,225
  5. Step 5: Solve for x
    x = 124,020,187,225/233,351
  6. Step 6: Final answer
    x = 531,474.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.