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Finding the Third Proportional to 141,504 and 298,368

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Solution

The third proportional to 141,504 and 298,368 is: 629,123.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,504 : 298,368 = 298,368 : x
  2. Step 2: Convert to fraction form
    141,504/298,368 = 298,368/x
  3. Step 3: Cross multiply
    141,504x = 298,368 × 298,368
  4. Step 4: Simplify right side
    141,504x = 89,023,463,424
  5. Step 5: Solve for x
    x = 89,023,463,424/141,504
  6. Step 6: Final answer
    x = 629,123.30

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.