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Finding the Third Proportional to 141,566 and 305,272

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Solution

The third proportional to 141,566 and 305,272 is: 658,286.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,566 : 305,272 = 305,272 : x
  2. Step 2: Convert to fraction form
    141,566/305,272 = 305,272/x
  3. Step 3: Cross multiply
    141,566x = 305,272 × 305,272
  4. Step 4: Simplify right side
    141,566x = 93,190,993,984
  5. Step 5: Solve for x
    x = 93,190,993,984/141,566
  6. Step 6: Final answer
    x = 658,286.55

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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.