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Finding the Third Proportional to 208,369 and 311,179

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Solution

The third proportional to 208,369 and 311,179 is: 464,715.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,369 : 311,179 = 311,179 : x
  2. Step 2: Convert to fraction form
    208,369/311,179 = 311,179/x
  3. Step 3: Cross multiply
    208,369x = 311,179 × 311,179
  4. Step 4: Simplify right side
    208,369x = 96,832,370,041
  5. Step 5: Solve for x
    x = 96,832,370,041/208,369
  6. Step 6: Final answer
    x = 464,715.82

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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.