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Finding the Third Proportional to 134,796 and 208,761

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Solution

The third proportional to 134,796 and 208,761 is: 323,311.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,796 : 208,761 = 208,761 : x
  2. Step 2: Convert to fraction form
    134,796/208,761 = 208,761/x
  3. Step 3: Cross multiply
    134,796x = 208,761 × 208,761
  4. Step 4: Simplify right side
    134,796x = 43,581,155,121
  5. Step 5: Solve for x
    x = 43,581,155,121/134,796
  6. Step 6: Final answer
    x = 323,311.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.