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Finding the Third Proportional to 233,949 and 333,427

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Solution

The third proportional to 233,949 and 333,427 is: 475,204.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,949 : 333,427 = 333,427 : x
  2. Step 2: Convert to fraction form
    233,949/333,427 = 333,427/x
  3. Step 3: Cross multiply
    233,949x = 333,427 × 333,427
  4. Step 4: Simplify right side
    233,949x = 111,173,564,329
  5. Step 5: Solve for x
    x = 111,173,564,329/233,949
  6. Step 6: Final answer
    x = 475,204.27

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.