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Finding the Third Proportional to 141,418 and 204,511

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Solution

The third proportional to 141,418 and 204,511 is: 295,752.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,418 : 204,511 = 204,511 : x
  2. Step 2: Convert to fraction form
    141,418/204,511 = 204,511/x
  3. Step 3: Cross multiply
    141,418x = 204,511 × 204,511
  4. Step 4: Simplify right side
    141,418x = 41,824,749,121
  5. Step 5: Solve for x
    x = 41,824,749,121/141,418
  6. Step 6: Final answer
    x = 295,752.66

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.