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Finding the Third Proportional to 141,567 and 305,274

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Solution

The third proportional to 141,567 and 305,274 is: 658,290.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,567 : 305,274 = 305,274 : x
  2. Step 2: Convert to fraction form
    141,567/305,274 = 305,274/x
  3. Step 3: Cross multiply
    141,567x = 305,274 × 305,274
  4. Step 4: Simplify right side
    141,567x = 93,192,215,076
  5. Step 5: Solve for x
    x = 93,192,215,076/141,567
  6. Step 6: Final answer
    x = 658,290.53

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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.