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Finding the Third Proportional to 143,228 and 311,320

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Solution

The third proportional to 143,228 and 311,320 is: 676,684.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,228 : 311,320 = 311,320 : x
  2. Step 2: Convert to fraction form
    143,228/311,320 = 311,320/x
  3. Step 3: Cross multiply
    143,228x = 311,320 × 311,320
  4. Step 4: Simplify right side
    143,228x = 96,920,142,400
  5. Step 5: Solve for x
    x = 96,920,142,400/143,228
  6. Step 6: Final answer
    x = 676,684.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.