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Finding the Third Proportional to 208,304 and 311,093

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Solution

The third proportional to 208,304 and 311,093 is: 464,603.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,304 : 311,093 = 311,093 : x
  2. Step 2: Convert to fraction form
    208,304/311,093 = 311,093/x
  3. Step 3: Cross multiply
    208,304x = 311,093 × 311,093
  4. Step 4: Simplify right side
    208,304x = 96,778,854,649
  5. Step 5: Solve for x
    x = 96,778,854,649/208,304
  6. Step 6: Final answer
    x = 464,603.92

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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.