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Finding the Third Proportional to 235,833 and 333,383

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Solution

The third proportional to 235,833 and 333,383 is: 471,283.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,833 : 333,383 = 333,383 : x
  2. Step 2: Convert to fraction form
    235,833/333,383 = 333,383/x
  3. Step 3: Cross multiply
    235,833x = 333,383 × 333,383
  4. Step 4: Simplify right side
    235,833x = 111,144,224,689
  5. Step 5: Solve for x
    x = 111,144,224,689/235,833
  6. Step 6: Final answer
    x = 471,283.60

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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.