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Finding the Third Proportional to 141,360 and 309,456

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Solution

The third proportional to 141,360 and 309,456 is: 677,440.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,360 : 309,456 = 309,456 : x
  2. Step 2: Convert to fraction form
    141,360/309,456 = 309,456/x
  3. Step 3: Cross multiply
    141,360x = 309,456 × 309,456
  4. Step 4: Simplify right side
    141,360x = 95,763,015,936
  5. Step 5: Solve for x
    x = 95,763,015,936/141,360
  6. Step 6: Final answer
    x = 677,440.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.