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Finding the Third Proportional to 141,264 and 304,934

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Solution

The third proportional to 141,264 and 304,934 is: 658,233.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,264 : 304,934 = 304,934 : x
  2. Step 2: Convert to fraction form
    141,264/304,934 = 304,934/x
  3. Step 3: Cross multiply
    141,264x = 304,934 × 304,934
  4. Step 4: Simplify right side
    141,264x = 92,984,744,356
  5. Step 5: Solve for x
    x = 92,984,744,356/141,264
  6. Step 6: Final answer
    x = 658,233.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.