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Finding the Third Proportional to 141,486.75 and 214,057.69

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Solution

The third proportional to 141,486.75 and 214,057.69 is: 323,851.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,486.75 : 214,057.69 = 214,057.69 : x
  2. Step 2: Convert to fraction form
    141,486.75/214,057.69 = 214,057.69/x
  3. Step 3: Cross multiply
    141,486.75x = 214,057.69 × 214,057.69
  4. Step 4: Simplify right side
    141,486.75x = 45,820,693,577.85
  5. Step 5: Solve for x
    x = 45,820,693,577.85/141,486.75
  6. Step 6: Final answer
    x = 323,851.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.