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Finding the Third Proportional to 208,081 and 312,121

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Solution

The third proportional to 208,081 and 312,121 is: 468,180.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,081 : 312,121 = 312,121 : x
  2. Step 2: Convert to fraction form
    208,081/312,121 = 312,121/x
  3. Step 3: Cross multiply
    208,081x = 312,121 × 312,121
  4. Step 4: Simplify right side
    208,081x = 97,419,518,641
  5. Step 5: Solve for x
    x = 97,419,518,641/208,081
  6. Step 6: Final answer
    x = 468,180.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.