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Finding the Third Proportional to 233,945 and 333,421

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Solution

The third proportional to 233,945 and 333,421 is: 475,195.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,945 : 333,421 = 333,421 : x
  2. Step 2: Convert to fraction form
    233,945/333,421 = 333,421/x
  3. Step 3: Cross multiply
    233,945x = 333,421 × 333,421
  4. Step 4: Simplify right side
    233,945x = 111,169,563,241
  5. Step 5: Solve for x
    x = 111,169,563,241/233,945
  6. Step 6: Final answer
    x = 475,195.29

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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.