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Finding the Third Proportional to 235,827 and 333,374

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Solution

The third proportional to 235,827 and 333,374 is: 471,270.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,827 : 333,374 = 333,374 : x
  2. Step 2: Convert to fraction form
    235,827/333,374 = 333,374/x
  3. Step 3: Cross multiply
    235,827x = 333,374 × 333,374
  4. Step 4: Simplify right side
    235,827x = 111,138,223,876
  5. Step 5: Solve for x
    x = 111,138,223,876/235,827
  6. Step 6: Final answer
    x = 471,270.14

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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.