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Finding the Third Proportional to 141,408 and 204,498

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Solution

The third proportional to 141,408 and 204,498 is: 295,735.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,408 : 204,498 = 204,498 : x
  2. Step 2: Convert to fraction form
    141,408/204,498 = 204,498/x
  3. Step 3: Cross multiply
    141,408x = 204,498 × 204,498
  4. Step 4: Simplify right side
    141,408x = 41,819,432,004
  5. Step 5: Solve for x
    x = 41,819,432,004/141,408
  6. Step 6: Final answer
    x = 295,735.97

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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.