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Finding the Third Proportional to 236,958 and 333,323

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Solution

The third proportional to 236,958 and 333,323 is: 468,877.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,958 : 333,323 = 333,323 : x
  2. Step 2: Convert to fraction form
    236,958/333,323 = 333,323/x
  3. Step 3: Cross multiply
    236,958x = 333,323 × 333,323
  4. Step 4: Simplify right side
    236,958x = 111,104,222,329
  5. Step 5: Solve for x
    x = 111,104,222,329/236,958
  6. Step 6: Final answer
    x = 468,877.28

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.