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Finding the Third Proportional to 141,208 and 275,321

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Solution

The third proportional to 141,208 and 275,321 is: 536,808.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,208 : 275,321 = 275,321 : x
  2. Step 2: Convert to fraction form
    141,208/275,321 = 275,321/x
  3. Step 3: Cross multiply
    141,208x = 275,321 × 275,321
  4. Step 4: Simplify right side
    141,208x = 75,801,653,041
  5. Step 5: Solve for x
    x = 75,801,653,041/141,208
  6. Step 6: Final answer
    x = 536,808.49

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.