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Finding the Third Proportional to 141,138 and 206,523

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Solution

The third proportional to 141,138 and 206,523 is: 302,198.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,138 : 206,523 = 206,523 : x
  2. Step 2: Convert to fraction form
    141,138/206,523 = 206,523/x
  3. Step 3: Cross multiply
    141,138x = 206,523 × 206,523
  4. Step 4: Simplify right side
    141,138x = 42,651,749,529
  5. Step 5: Solve for x
    x = 42,651,749,529/141,138
  6. Step 6: Final answer
    x = 302,198.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.