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Finding the Third Proportional to 154,727 and 208,761

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Solution

The third proportional to 154,727 and 208,761 is: 281,664.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,727 : 208,761 = 208,761 : x
  2. Step 2: Convert to fraction form
    154,727/208,761 = 208,761/x
  3. Step 3: Cross multiply
    154,727x = 208,761 × 208,761
  4. Step 4: Simplify right side
    154,727x = 43,581,155,121
  5. Step 5: Solve for x
    x = 43,581,155,121/154,727
  6. Step 6: Final answer
    x = 281,664.84

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.