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Finding the Third Proportional to 208,366 and 311,176

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Solution

The third proportional to 208,366 and 311,176 is: 464,713.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,366 : 311,176 = 311,176 : x
  2. Step 2: Convert to fraction form
    208,366/311,176 = 311,176/x
  3. Step 3: Cross multiply
    208,366x = 311,176 × 311,176
  4. Step 4: Simplify right side
    208,366x = 96,830,502,976
  5. Step 5: Solve for x
    x = 96,830,502,976/208,366
  6. Step 6: Final answer
    x = 464,713.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.